Textbook in PDF format This book serves as an advanced companion to an initial linear algebra text with a computational focus. It encompasses conventional topics such as vector spaces, linear transformations, and bases, and it delves into non-standard subjects typically encountered in abstract algebra courses such as structure theorems for linear transformations, tensor products of vector spaces, and exterior algebras. In addition, it features chapters devoted to bilinear and sesquilinear forms, inner product spaces, and the spectral theorem