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001 Introduction.en.srt
16.0 KB
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001 Introduction.mp4
153.3 MB
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001 Outline_Linear_Algebra_and_Geometry_1.pdf
1.0 MB
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001 Slides Introduction to the course.pdf
34.8 MB
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[Tutorialsplanet.NET].url
128 bytes
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001 Coordinate systems and coordinates in the plane and in the 3-space.en.srt
23.3 KB
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001 Coordinate systems and coordinates in the plane and in the 3-space.mp4
122.6 MB
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002 Slides Coordinate systems and coordinates.pdf
996.1 KB
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002 Slope-intercept equations of straight lines in the plane.en.srt
11.4 KB
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002 Slope-intercept equations of straight lines in the plane.mp4
70.4 MB
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003 Normal equations of planes in the 3-space.en.srt
11.0 KB
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003 Normal equations of planes in the 3-space.mp4
63.9 MB
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003 Slides Slope intercept equations of lines in the plane.pdf
1.5 MB
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004 Slides Normal equations of planes in the 3-space.pdf
641.9 KB
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004 Vectors.en.srt
15.0 KB
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004 Vectors.mp4
56.2 MB
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005 Scalars.en.srt
2.3 KB
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005 Scalars.mp4
48.2 MB
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005 Slides Vectors.pdf
952.4 KB
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006 Vector addition and vector scaling.en.srt
11.6 KB
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006 Vector addition and vector scaling.mp4
63.5 MB
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007 Linear combinations.en.srt
24.7 KB
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007 Linear combinations.mp4
165.5 MB
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007 Slides Vector addition and vector scaling.pdf
443.3 KB
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008 Matrices.en.srt
7.2 KB
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008 Matrices.mp4
41.7 MB
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008 Notes Linear combinations.pdf
606.3 KB
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008 Slides Linear combinations.pdf
1.2 MB
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009 Linear transformations.en.srt
26.8 KB
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009 Linear transformations.mp4
123.6 MB
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009 Slides Matrices.pdf
4.8 MB
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010 Matrix—vector multiplication.en.srt
8.5 KB
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010 Matrix—vector multiplication.mp4
60.1 MB
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010 Slides Linear transformations.pdf
2.2 MB
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011 Rules for computations with real numbers.en.srt
11.4 KB
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011 Rules for computations with real numbers.mp4
59.5 MB
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011 Slides Matrix vector multiplication.pdf
1.2 MB
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012 Pythagorean Theorem and distance between points.en.srt
16.9 KB
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012 Pythagorean Theorem and distance between points.mp4
66.6 MB
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012 Slides Rules for computations with real numbers.pdf
150.4 KB
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013 Sine, cosine, and pythagorean identity.en.srt
6.4 KB
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013 Sine, cosine, and pythagorean identity.mp4
31.8 MB
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013 Slides Pythagorean Theorem and distance between points.pdf
689.5 KB
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014 Cosine Rule.en.srt
12.3 KB
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014 Cosine Rule.mp4
55.0 MB
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014 Slides Sine cosine and pythagorean identity.pdf
632.8 KB
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015 Slides Cosine Rule.pdf
684.8 KB
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001 Different ways of looking at equations.en.srt
5.4 KB
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001 Different ways of looking at equations.mp4
33.6 MB
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002 Solution set.en.srt
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002 Solution set.mp4
58.5 MB
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003 Linear and non-linear equations.en.srt
14.3 KB
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003 Linear and non-linear equations.mp4
63.3 MB
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004 Systems of linear equations.en.srt
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004 Systems of linear equations.mp4
27.0 MB
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005 Solution sets of systems of linear equations.en.srt
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005 Solution sets of systems of linear equations.mp4
54.2 MB
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006 An example of a 2 × 2 system of linear equations, a graphical solution.en.srt
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006 An example of a 2 × 2 system of linear equations, a graphical solution.mp4
31.2 MB
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007 Possible solution sets of 2 × 2 systems of linear equations.en.srt
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007 Possible solution sets of 2 × 2 systems of linear equations.mp4
42.6 MB
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008 Possible solution sets of 3 × 2 systems of linear equations.en.srt
8.7 KB
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008 Possible solution sets of 3 × 2 systems of linear equations.mp4
37.6 MB
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009 Possible solution sets of 3 × 3 systems of linear equations.en.srt
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009 Possible solution sets of 3 × 3 systems of linear equations.mp4
52.6 MB
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010 Possible solution sets of 2 × 3 systems of linear equations.en.srt
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010 Possible solution sets of 2 × 3 systems of linear equations.mp4
22.5 MB
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011 Possible solution sets of m × n systems of linear equations.en.srt
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011 Possible solution sets of m × n systems of linear equations.mp4
40.9 MB
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016 Slides Different ways of looking at equations.pdf
122.8 KB
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017 Slides Solution set.pdf
2.5 MB
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018 Slides Linear and nonlinear equations.pdf
328.4 KB
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019 Slides Systems of linear equations.pdf
2.1 MB
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020 Slides Solution sets of systems of linear equations.pdf
1.3 MB
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021 Slides An example of a 2 by 2 system of linear equations A graphical solution.pdf
486.2 KB
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022 Slides Possible solution sets of 2 by 2 systems of linear equations.pdf
984.7 KB
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023 Slides Possible solution sets of 3 by 2 systems of linear equations Overdetermined systems.pdf
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024 Slides Possible solution sets of 3 by 3 systems of linear equations.pdf
2.3 MB
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025 Slides Possible solution sets of 2 by 3 systems of linear equations Underdetermined systems.pdf
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026 Slides Possible solution sets of m by n systems of linear equations.pdf
1.0 MB
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001 Our earlier problem revisited; an algebraical solution.en.srt
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001 Our earlier problem revisited; an algebraical solution.mp4
182.3 MB
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002 Three elementary operations.en.srt
10.4 KB
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002 Three elementary operations.mp4
70.8 MB
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003 What is Gauss—Jordan elimination and Gaussian elimination_.en.srt
8.6 KB
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003 What is Gauss—Jordan elimination and Gaussian elimination_.mp4
47.9 MB
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004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.en.srt
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004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.mp4
38.7 MB
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005 The same example solved with Gaussian elimination and back-substitution.en.srt
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005 The same example solved with Gaussian elimination and back-substitution.mp4
30.1 MB
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006 The same example solved with matrix operations; coefficient matrix and augmented.en.srt
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006 The same example solved with matrix operations; coefficient matrix and augmented.mp4
66.8 MB
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007 How to write the augmented matrix for a given system of equations, Problem 1.en.srt
12.8 KB
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007 How to write the augmented matrix for a given system of equations, Problem 1.mp4
258.0 MB
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008 How to write system of equations to a given augmented matrix, Problem 2.en.srt
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008 How to write system of equations to a given augmented matrix, Problem 2.mp4
148.1 MB
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009 Gaussian elimination, Problem 3.en.srt
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009 Gaussian elimination, Problem 3.mp4
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010 Gaussian elimination, Problem 4.en.srt
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010 Gaussian elimination, Problem 4.mp4
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011 Gaussian elimination, Problem 5.en.srt
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011 Gaussian elimination, Problem 5.mp4
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012 Gaussian elimination, Problem 6.en.srt
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012 Gaussian elimination, Problem 6.mp4
315.3 MB
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013 What happens if the system is inconsistent_.en.srt
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013 What happens if the system is inconsistent_.mp4
36.3 MB
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014 Gaussian elimination, Problem 7.en.srt
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014 Gaussian elimination, Problem 7.mp4
123.0 MB
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015 Preparation to the general formulation of the algorithm; REF and RREF matrices.en.srt
17.4 KB
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015 Preparation to the general formulation of the algorithm; REF and RREF matrices.mp4
178.1 MB
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016 How to read solutions from REF and RREF matrices_.en.srt
28.8 KB
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016 How to read solutions from REF and RREF matrices_.mp4
402.6 MB
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017 General formulation of the algorithm in Gauss–Jordan elimination.en.srt
28.3 KB
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017 General formulation of the algorithm in Gauss–Jordan elimination.mp4
458.1 MB
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018 Gauss–Jordan elimination, Problem 8.en.srt
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018 Gauss–Jordan elimination, Problem 8.mp4
312.7 MB
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019 Gauss–Jordan elimination, Problem 9.en.srt
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019 Gauss–Jordan elimination, Problem 9.mp4
192.0 MB
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020 Gaussian elimination, Problem 10.en.srt
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020 Gaussian elimination, Problem 10.mp4
112.2 MB
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021 Gauss–Jordan elimination, Problem 11.en.srt
19.4 KB
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021 Gauss–Jordan elimination, Problem 11.mp4
406.5 MB
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022 Gauss–Jordan elimination, Problem 12.en.srt
26.0 KB
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022 Gauss–Jordan elimination, Problem 12.mp4
520.5 MB
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023 Gauss–Jordan elimination, Problem 13.en.srt
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023 Gauss–Jordan elimination, Problem 13.mp4
566.8 MB
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027 Notes An example of a 2 by 2 system of linear equations An algebraical solution.pdf
747.2 KB
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027 Slides An example of a 2 by 2 system of linear equations An algebraical solution.pdf
270.8 KB
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028 Slides Three elementary operations.pdf
910.6 KB
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029 Slides What is Gauss Jordan and Gaussian elimination.pdf
1.2 MB
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030 Slides Gauss Jordan elimination Example 2 by 2 unique solution.pdf
466.5 KB
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031 Slides The same example solved with Gaussian elimination and back-substitution.pdf
1.0 MB
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032 Slides The same example solved with matrix operations Coefficient matrix and augmented matrix.pdf
2.0 MB
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033 Notes How to write the augmented matrix for a given system of equations Problem 1.pdf
776.3 KB
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033 Slides How to write the augmented matrix for a given system of equations Problem 1.pdf
167.0 KB
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034 Notes How to write system of equations corresponding to a given augmented matrix Problem 2.pdf
536.9 KB
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034 Slides How to write system of equations corresponding to a given augmented matrix Problem 2.pdf
170.1 KB
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035 Notes Gaussian elimination Problem 3.pdf
2.1 MB
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035 Slides Gaussian elimination Problem 3.pdf
169.1 KB
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036 Notes Gaussian elimination Problem 4.pdf
1.9 MB
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036 Slides Gaussian elimination Problem 4.pdf
167.6 KB
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037 Notes Gaussian elimination Problem 5.pdf
1.3 MB
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037 Slides Gaussian elimination Problem 5.pdf
168.3 KB
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038 Notes Gaussian elimination Problem 6.pdf
1.2 MB
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038 Slides Gaussian elimination Problem 6.pdf
141.7 KB
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039 Slides What happens if the system is inconsistent.pdf
348.7 KB
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040 Notes Gaussian elimination Problem 7.pdf
559.8 KB
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040 Slides Gaussian elimination Problem 7.pdf
141.8 KB
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041 Notes Preparation to the general formulation of the algorithm REF and RREF matrices.pdf
569.8 KB
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041 Slides Preparation to the general formulation of the algorithm REF and RREF matrices.pdf
1.8 MB
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042 Notes How to read solutions from REF and RREF matrices.pdf
1.7 MB
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042 Slides How to read solutions from REF and RREF matrices.pdf
1.0 MB
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043 Notes General formulation of the algorithm in Gauss Jordan elimination.pdf
1.9 MB
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043 Slides General formulation of the algorithm in Gauss Jordan elimination.pdf
906.8 KB
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044 Notes Gauss Jordan elimination Problem 8.pdf
1.5 MB
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044 Slides Gauss Jordan elimination Problem 8.pdf
210.9 KB
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045 Notes Gauss Jordan elimination Problem 9.pdf
1.0 MB
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045 Slides Gauss Jordan elimination Problem 9.pdf
260.8 KB
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046 Notes Gauss Jordan elimination Problem 10.pdf
537.1 KB
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046 Slides Gauss Jordan elimination Problem 10.pdf
198.3 KB
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047 Notes Gauss Jordan elimination Problem 11.pdf
2.1 MB
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047 Slides Gauss Jordan elimination Problem 11.pdf
143.5 KB
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048 Notes Gaussian elimination Problem 12.pdf
2.4 MB
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048 Slides Gaussian elimination Problem 12.pdf
144.7 KB
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049 Article-Solved-Problems-Systems-of-Equations.pdf
120.7 KB
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049 Notes Gauss Jordan elimination Problem 13.pdf
2.2 MB
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049 Slides Gauss Jordan elimination Problem 13.pdf
266.0 KB
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001 Solving systems of linear equations in Linear Algebra and Geometry.en.srt
8.5 KB
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001 Solving systems of linear equations in Linear Algebra and Geometry.mp4
94.1 MB
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002 Solving systems of linear equations (Calculus) Problem 1.en.srt
8.0 KB
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002 Solving systems of linear equations (Calculus) Problem 1.mp4
144.0 MB
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003 Solving systems of linear equations (Calculus) Problem 2.en.srt
10.2 KB
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003 Solving systems of linear equations (Calculus) Problem 2.mp4
206.2 MB
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004 Solving systems of linear equations (Calculus) Problem 3.en.srt
25.0 KB
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004 Solving systems of linear equations (Calculus) Problem 3.mp4
513.7 MB
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005 Solving systems of linear equations (Calculus) Problem 4.en.srt
28.0 KB
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005 Solving systems of linear equations (Calculus) Problem 4.mp4
572.2 MB
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006 Problem 5 (Chemistry).en.srt
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006 Problem 5 (Chemistry).mp4
277.3 MB
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007 Problem 6 (Electrical circuits).en.srt
19.1 KB
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007 Problem 6 (Electrical circuits).mp4
270.6 MB
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050 Slides Solving systems of linear equations in Linear Algebra and Geometry.pdf
203.8 KB
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051 Notes Problem 1 Calculus.pdf
668.4 KB
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051 Slides Problem 1 Calculus.pdf
269.1 KB
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052 Notes Problem 2 Calculus.pdf
1.1 MB
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052 Slides Problem 2 Calculus.pdf
329.8 KB
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053 Notes Problem 3 Calculus.pdf
2.1 MB
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053 Slides Problem 3 Calculus.pdf
144.3 KB
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054 Notes Problem 4 Calculus.pdf
2.5 MB
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054 Slides Problem 4 Calculus.pdf
144.8 KB
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055 Notes Problem 5 Chemistry.pdf
1.4 MB
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055 Slides Problem 5 Chemistry.pdf
223.3 KB
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056 Notes Problem 6 Electrical circuits.pdf
1.3 MB
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056 Slides Problem 6 Electrical circuits.pdf
161.2 KB
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001 Introduction to matrices.en.srt
11.2 KB
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001 Introduction to matrices.mp4
55.1 MB
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002 Different types of matrices.en.srt
11.1 KB
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002 Different types of matrices.mp4
51.5 MB
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003 Matrix addition and subtraction, Problem 1.en.srt
5.3 KB
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003 Matrix addition and subtraction, Problem 1.mp4
27.2 MB
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004 Matrix scaling, with geometrical interpretation.en.srt
6.4 KB
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004 Matrix scaling, with geometrical interpretation.mp4
33.0 MB
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005 Matrix scaling, Problem 2.en.srt
3.4 KB
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005 Matrix scaling, Problem 2.mp4
57.2 MB
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006 Matrix multiplication, with geometrical interpretation.en.srt
19.4 KB
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006 Matrix multiplication, with geometrical interpretation.mp4
110.6 MB
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007 Matrix multiplication, how to do.en.srt
6.1 KB
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007 Matrix multiplication, how to do.mp4
41.6 MB
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008 Matrix multiplication, Problem 3.en.srt
7.5 KB
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008 Matrix multiplication, Problem 3.mp4
35.3 MB
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009 Matrix multiplication and systems of equations, Problem 4.en.srt
11.0 KB
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009 Matrix multiplication and systems of equations, Problem 4.mp4
50.0 MB
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010 Transposed matrix, definition and some examples.en.srt
5.5 KB
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010 Transposed matrix, definition and some examples.mp4
75.8 MB
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011 Trace of a matrix, definition and an example.en.srt
3.6 KB
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011 Trace of a matrix, definition and an example.mp4
20.2 MB
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012 Various matrix operations, Problem 7.en.srt
13.4 KB
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012 Various matrix operations, Problem 7.mp4
238.8 MB
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013 Various matrix operations, Problem 8.en.srt
21.5 KB
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013 Various matrix operations, Problem 8.mp4
287.2 MB
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057 Slides Introduction to matrices.pdf
1.7 MB
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058 Slides Different types of matrices.pdf
308.2 KB
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059 Slides Matrix addition and subtraction Problem 1.pdf
917.8 KB
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060 Slides Matrix scaling with geometrical interpretation.pdf
1.1 MB
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061 Notes Matrix scaling Problem 2.pdf
418.3 KB
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061 Slides Matrix scaling Problem 2.pdf
496.7 KB
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062 Slides Matrix multiplication with geometrical interpretation.pdf
2.5 MB
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063 Slides Matrix multiplication how to do.pdf
1.9 MB
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064 Slides Matrix multiplication Problem 3.pdf
2.1 MB
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065 Slides Matrix multiplication and systems of equations Problem 4.pdf
1.3 MB
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066 Notes Transposed matrix Definition and some examples.pdf
399.4 KB
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066 Slides Transposed matrix Definition and some examples.pdf
744.4 KB
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067 Slides Trace of a matrix Definition and an example.pdf
751.2 KB
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068 Notes Various matrix operations Problem 7.pdf
900.5 KB
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068 Slides Various matrix operations Problem 7.pdf
190.3 KB
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069 Notes Various matrix operations Problem 8.pdf
1.3 MB
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069 Slides Various matrix operations Problem 8.pdf
600.9 KB
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001 Properties of matrix operations, an introduction.en.srt
5.6 KB
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001 Properties of matrix operations, an introduction.mp4
41.7 MB
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002 Matrix addition has all the good properties.en.srt
8.0 KB
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002 Matrix addition has all the good properties.mp4
32.1 MB
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003 Matrix multiplication has a neutral element for square matrices.en.srt
8.4 KB
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003 Matrix multiplication has a neutral element for square matrices.mp4
119.8 MB
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004 Matrix multiplication is associative.en.srt
19.5 KB
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004 Matrix multiplication is associative.mp4
282.4 MB
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005 Matrix multiplication is not commutative.en.srt
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005 Matrix multiplication is not commutative.mp4
43.9 MB
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006 Sometimes commutativity happens, Problem 1.en.srt
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006 Sometimes commutativity happens, Problem 1.mp4
309.5 MB
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007 Two distributive laws.en.srt
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007 Two distributive laws.mp4
163.7 MB
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008 Matrix multiplication does not have the zero-product property.en.srt
3.6 KB
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008 Matrix multiplication does not have the zero-product property.mp4
17.5 MB
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009 There is no cancellation law for matrix multiplication.en.srt
6.3 KB
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009 There is no cancellation law for matrix multiplication.mp4
26.9 MB
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010 Inverse matrices; not all non-zero square matrices have an inverse.en.srt
11.3 KB
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010 Inverse matrices; not all non-zero square matrices have an inverse.mp4
68.6 MB
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011 Inverse matrix for 2-by-2 matrices; non-zero determinant.en.srt
11.0 KB
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011 Inverse matrix for 2-by-2 matrices; non-zero determinant.mp4
129.3 MB
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012 Solving matrix equations, Problem 2.en.srt
18.9 KB
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012 Solving matrix equations, Problem 2.mp4
343.3 MB
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013 Powers of matrices; powers of diagonal matrices.en.srt
4.0 KB
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013 Powers of matrices; powers of diagonal matrices.mp4
19.2 MB
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014 Computation rules for transposed matrices.en.srt
11.1 KB
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014 Computation rules for transposed matrices.mp4
139.4 MB
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015 Supplement to Video 83; Inverse of a product.en.srt
11.6 KB
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015 Supplement to Video 83; Inverse of a product.mp4
118.6 MB
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016 Inverse of a transposed matrix.en.srt
5.0 KB
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016 Inverse of a transposed matrix.mp4
26.8 MB
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017 Various rules, Problem 3.en.srt
15.4 KB
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017 Various rules, Problem 3.mp4
223.4 MB
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070 Slides Properties of matrix operations An introduction.pdf
285.0 KB
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071 Slides Matrix addition has all the good properties.pdf
711.5 KB
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072 Notes Matrix multiplication has a neutral element for square matrices.pdf
587.2 KB
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072 Slides Matrix multiplication has a neutral element for square matrices.pdf
158.1 KB
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073 Notes Matrix multiplication is associative.pdf
1.1 MB
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073 Slides Matrix multiplication is associative.pdf
1.7 MB
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074 Slides Matrix multiplication is not commutative.pdf
1.6 MB
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075 Notes Sometimes commutativity happens Problem 1.pdf
1.4 MB
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075 Slides Sometimes commutativity happens Problem 1.pdf
263.6 KB
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076 Notes Two distributive laws.pdf
632.1 KB
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076 Slides Two distributive laws.pdf
280.5 KB
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077 Slides Matrix multiplication does not have the zero-product property.pdf
168.7 KB
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078 Slides There is no cancellation law for matrix multiplication.pdf
3.9 MB
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079 Slides Inverse matrices Not all non-zero square matrices have an inverse.pdf
315.9 KB
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080 Notes Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf
465.7 KB
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080 Slides Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf
1.9 MB
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081 Notes Solving matrix equations Problem 2.pdf
1.4 MB
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081 Slides Solving matrix equations Problem 2.pdf
1.9 MB
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082 Slides Powers of matrices Powers of diagonal matrices.pdf
668.3 KB
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083 Notes Computation rules for transposed matrices.pdf
686.0 KB
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083 Slides Computation rules for transposed matrices.pdf
293.1 KB
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084 Notes Supplement to Video 83.pdf
488.4 KB
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084 Slides Supplement to Video 83 Inverse of a product.pdf
572.5 KB
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085 Slides Inverse of a transposed matrix.pdf
350.1 KB
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086 Article-Solved-Problems-Matrix-Arithmetics.pdf
104.4 KB
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086 Notes Various rules Problem 3.pdf
970.8 KB
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086 Slides Various rules Problem 3.pdf
620.2 KB
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[Tutorialsplanet.NET].url
128 bytes
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001 Inverse matrices, introduction to the algorithm.en.srt
17.5 KB
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001 Inverse matrices, introduction to the algorithm.mp4
406.3 MB
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002 Algorithm for inverse matrices, an example.en.srt
10.4 KB
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002 Algorithm for inverse matrices, an example.mp4
57.5 MB
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003 Matrix inverse, Problem 1.en.srt
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003 Matrix inverse, Problem 1.mp4
289.4 MB
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004 Matrix inverse, Problem 2.en.srt
11.3 KB
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004 Matrix inverse, Problem 2.mp4
204.7 MB
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005 Matrix equations, Problem 3.en.srt
13.5 KB
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005 Matrix equations, Problem 3.mp4
250.4 MB
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006 Matrix equations, Problem 4.en.srt
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006 Matrix equations, Problem 4.mp4
155.9 MB
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007 Matrix equations, Problem 5.en.srt
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007 Matrix equations, Problem 5.mp4
341.8 MB
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008 Matrix equations, Problem 6.en.srt
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008 Matrix equations, Problem 6.mp4
437.6 MB
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009 Matrix inverse, Problem 7.en.srt
18.3 KB
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009 Matrix inverse, Problem 7.mp4
387.1 MB
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010 Elementary operations and elementary matrices.en.srt
12.6 KB
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010 Elementary operations and elementary matrices.mp4
71.6 MB
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011 Inverse elementary operations and their matrices.en.srt
6.8 KB
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011 Inverse elementary operations and their matrices.mp4
35.0 MB
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012 A really important theorem.en.srt
5.9 KB
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012 A really important theorem.mp4
67.1 MB
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013 Four equivalent statements.en.srt
16.6 KB
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013 Four equivalent statements.mp4
148.2 MB
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087 Notes Inverse matrices Introduction to the algorithm.pdf
1.5 MB
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087 Slides Inverse matrices Introduction to the algorithm.pdf
106.5 KB
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088 Slides Algorithm for inverse matrices An example.pdf
3.3 MB
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089 Notes Matrix inverse Problem 1.pdf
1.4 MB
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089 Slides Matrix inverse Problem 1.pdf
193.0 KB
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090 Notes Matrix inverse Problem 2.pdf
658.9 KB
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090 Slides Matrix inverse Problem 2.pdf
184.6 KB
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091 Notes Matrix equations Problem 3.pdf
1.2 MB
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091 Slides Matrix equations Problem 3.pdf
1.8 MB
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092 Notes Matrix equations Problem 4.pdf
744.7 KB
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092 Slides Matrix equations Problem 4.pdf
1.8 MB
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093 Notes Matrix equations Problem 5.pdf
1.2 MB
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093 Slides Matrix equations Problem 5.pdf
171.7 KB
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094 Notes Matrix equations Problem 6.pdf
1.8 MB
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094 Slides Matrix equations Problem 6.pdf
171.7 KB
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095 Notes Matrix inverse Problem 7.pdf
1.7 MB
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095 Slides Matrix inverse Problem 7.pdf
292.7 KB
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096 Slides Elementary operations and elementary matrices.pdf
1.5 MB
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097 Slides Inverse elementary operations and their matrices.pdf
3.3 MB
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098 Slides A really important theorem.pdf
648.6 KB
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099 Article-Solved-Problems-Matrix-Inverse.pdf
166.6 KB
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099 Notes Four equivalent statements.pdf
640.5 KB
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099 Slides Four equivalent statements.pdf
2.0 MB
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001 Formally about the number of solutions to systems of linear equations.en.srt
23.4 KB
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001 Formally about the number of solutions to systems of linear equations.mp4
348.6 MB
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002 Two more statements in our important theorem.en.srt
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002 Two more statements in our important theorem.mp4
136.7 MB
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003 Solution of a linear system using A inverse, Problem 1.en.srt
17.3 KB
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003 Solution of a linear system using A inverse, Problem 1.mp4
334.9 MB
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004 Determining consistency by elimination, Problem 2.en.srt
23.4 KB
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004 Determining consistency by elimination, Problem 2.mp4
465.2 MB
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005 Matrix equations, Problem 3.en.srt
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005 Matrix equations, Problem 3.mp4
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100 Notes Formally about the number of solutions to systems of linear equations.pdf
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100 Slides Formally about the number of solutions to systems of linear equations.pdf
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101 Notes Two more statements in our important theorem.pdf
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101 Slides Two more statements in our important theorem.pdf
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102 Notes Solution of a linear system using A inverse Problem 1.pdf
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102 Slides Solution of a linear system using A inverse Problem 1.pdf
825.5 KB
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103 Notes Determining consistency by elimination Problem 2.pdf
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103 Slides Determining consistency by elimination Problem 2.pdf
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104 Notes Matrix equations Problem 3.pdf
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104 Slides Matrix equations Problem 3.pdf
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001 Why the determinants are important.en.srt
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001 Why the determinants are important.mp4
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002 2-by-2 determinants; notation for n-by-n determinants.en.srt
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002 2-by-2 determinants; notation for n-by-n determinants.mp4
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003 Geometrical interpretations of determinants.en.srt
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003 Geometrical interpretations of determinants.mp4
104.8 MB
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004 Geometrically about the determinant of a product.en.srt
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004 Geometrically about the determinant of a product.mp4
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005 Definition of determinants.en.srt
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005 Definition of determinants.mp4
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006 Conclusion 1_ Determinant of matrices with interchanged columns.en.srt
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006 Conclusion 1_ Determinant of matrices with interchanged columns.mp4
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007 Conclusion 2_ What happens when one column is a linear combination of others.en.srt
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007 Conclusion 2_ What happens when one column is a linear combination of others.mp4
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008 Conclusion 3_ About adding a multiple of a column to another column.en.srt
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008 Conclusion 3_ About adding a multiple of a column to another column.mp4
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009 Conclusion 4_ Determinant of kA for any k ∈ R.en.srt
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009 Conclusion 4_ Determinant of kA for any k ∈ R.mp4
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010 Elementary column operations.en.srt
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010 Elementary column operations.mp4
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011 How to compute 2-by-2 determinants from the definition.en.srt
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011 How to compute 2-by-2 determinants from the definition.mp4
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012 How to compute 3-by-3 determinants from the definition.en.srt
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012 How to compute 3-by-3 determinants from the definition.mp4
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013 Sarrus’ rule for 3-by-3 determinants.en.srt
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013 Sarrus’ rule for 3-by-3 determinants.mp4
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014 Determinant of transposed matrix; row operations.en.srt
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014 Determinant of transposed matrix; row operations.mp4
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015 Evaluating determinants by cofactor expansion along rows or columns.en.srt
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015 Evaluating determinants by cofactor expansion along rows or columns.mp4
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016 Evaluating determinants by row or column reduction.en.srt
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016 Evaluating determinants by row or column reduction.mp4
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017 Determinant of inverse.en.srt
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017 Determinant of inverse.mp4
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018 Properties of determinants, Problem 1.en.srt
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018 Properties of determinants, Problem 1.mp4
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019 Properties of determinants, Problem 2.en.srt
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019 Properties of determinants, Problem 2.mp4
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020 Properties of determinants, Problem 3.en.srt
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020 Properties of determinants, Problem 3.mp4
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021 Determinant equations, Problem 4.en.srt
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021 Determinant equations, Problem 4.mp4
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022 Determinant equations, Problem 5.en.srt
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022 Determinant equations, Problem 5.mp4
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023 Determinant equations, Problem 6.en.srt
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023 Determinant equations, Problem 6.mp4
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024 Determinant equations, Problem 7.en.srt
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024 Determinant equations, Problem 7.mp4
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025 Invertible matrices, determinant test with a proof, Problem 8.en.srt
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025 Invertible matrices, determinant test with a proof, Problem 8.mp4
331.9 MB
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026 Cramer’s rule, a proof, an example, and a geometrical interpretation.en.srt
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026 Cramer’s rule, a proof, an example, and a geometrical interpretation.mp4
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027 Cramer’s rule, Problem 9.en.srt
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027 Cramer’s rule, Problem 9.mp4
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028 Inverse matrix, an explicit formula.en.srt
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028 Inverse matrix, an explicit formula.mp4
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029 Invertible matrices, Problem 10.en.srt
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029 Invertible matrices, Problem 10.mp4
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030 Problem 11, a large determinant.en.srt
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030 Problem 11, a large determinant.mp4
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031 Problem 12, another large determinant.en.srt
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031 Problem 12, another large determinant.mp4
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032 Problem 13_ a trigonometric determinant.en.srt
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032 Problem 13_ a trigonometric determinant.mp4
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033 Problem 14_ Vandermonde determinant.en.srt
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033 Problem 14_ Vandermonde determinant.mp4
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105 Slides Why the determinants are important.pdf
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106 Slides 2-by-2 determinants Notation for n by n determinants.pdf
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107 Slides Geometrical interpretations of determinants.pdf
3.4 MB
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108 Slides Geometrically about the determinant of a product.pdf
2.1 MB
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109 Slides Definition of determinants.pdf
5.2 MB
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110 Slides Conclusion 1 Determinant of matrices with interchanged columns.pdf
2.9 MB
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111 Notes Conclusion 2 What happens when one column is a linear combination of the other columns.pdf
1.3 MB
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111 Slides Conclusion 2 What happens when one column is a linear combination of the other columns.pdf
3.8 MB
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112 Notes Conclusion 3 About adding a multiple of a column to another column.pdf
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112 Slides Conclusion 3 About adding a multiple of a column to another column.pdf
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113 Slides Conclusion 4 Determinant of kA for any real k.pdf
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114 Notes Elementary column operations.pdf
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114 Slides Elementary column operations.pdf
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115 Slides How to compute 2 by 2 determinants from the definition.pdf
1.1 MB
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116 Slides How to compute 3 by 3 determinants from the definition.pdf
2.2 MB
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117 Notes Sarrus method for 3 by 3 determinants.pdf
848.0 KB
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117 Slides Sarrus method for 3 by 3 determinants.pdf
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118 Slides Determinant of transposed matrix Row operations.pdf
1.7 MB
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119 Notes Cofactor expansion along columns or rows.pdf
3.0 MB
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119 Slides Cofactor expansion along columns or rows.pdf
2.7 MB
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120 Notes Evaluating determinants by row or column reduction.pdf
960.0 KB
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120 Slides Evaluating determinants by row or column reduction.pdf
1.4 MB
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121 Slides Determinant of inverse.pdf
1.2 MB
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122 Notes Properties of determinants Problem 1.pdf
650.7 KB
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122 Slides Properties of determinants Problem 1.pdf
2.5 MB
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123 Notes Properties of determinants Problem 2.pdf
795.3 KB
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123 Slides Properties of determinants Problem 2.pdf
1.7 MB
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124 Notes Properties of determinants Problem 3.pdf
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124 Slides Properties of determinants Problem 3.pdf
2.3 MB
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125 Notes Determinant equations Problem 4.pdf
547.6 KB
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125 Slides Determinant equations Problem 4.pdf
274.2 KB
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126 Notes Determinant equations Problem 5.pdf
1.3 MB
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126 Slides Determinant equations Problem 5.pdf
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127 Slides Determinant equations Problem 6.pdf
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128 Slides Determinant equations Problem 7.pdf
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129 Notes Invertible matrices Determinant test with a proof Problem 8.pdf
1.0 MB
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129 Slides Invertible matrices Determinant test with a proof Problem 8.pdf
2.0 MB
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130 Notes Cramers rule Proof Example Geometrical interpretation.pdf
791.8 KB
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130 Slides Cramers rule Proof Example Geometrical interpretation.pdf
1.6 MB
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131 Notes Cramers rule, Problem 9.pdf
1.2 MB
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131 Slides Cramers rule, Problem 9.pdf
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132 Notes Inverse matrix An explicit formula.pdf
688.6 KB
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132 Slides Inverse matrix An explicit formula.pdf
2.8 MB
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133 Notes Inverse matrix An explicit formula Problem 10.pdf
1.0 MB
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133 Slides Inverse matrix An explicit formula Problem 10.pdf
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134 Slides Problem 11 A large determinant.pdf
1.2 MB
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135 Notes Problem 12 Another large determinant.pdf
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135 Slides Problem 12 Another large determinant.pdf
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136 Notes Problem 13 A trigonometric determinant.pdf
1.2 MB
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136 Slides Problem 13 A trigonometric determinant.pdf
221.9 KB
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137 Article-Solved-Problems-Determinants.pdf
1.5 MB
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137 Notes Problem 14 Vandermonde determinant.pdf
2.4 MB
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137 Slides Problem 14 Vandermonde determinant.pdf
1.1 MB
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[Tutorialsplanet.NET].url
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001 Vectors, a repetition.en.srt
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001 Vectors, a repetition.mp4
55.3 MB
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002 Computation rules for vector addition and scaling.en.srt
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002 Computation rules for vector addition and scaling.mp4
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003 Computations with vectors, Problem 1.en.srt
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003 Computations with vectors, Problem 1.mp4
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004 Computations with vectors, Problem 2.en.srt
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004 Computations with vectors, Problem 2.mp4
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005 Computations with vectors, Problem 3.en.srt
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005 Computations with vectors, Problem 3.mp4
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006 Parallel vectors, Problem 4.en.srt
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006 Parallel vectors, Problem 4.mp4
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007 Parallel vectors, Problem 5.en.srt
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007 Parallel vectors, Problem 5.mp4
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[Tutorialsplanet.NET].url
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[Tutorialsplanet.NET].url
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