Advanced Linear Algebra

Designed for a second theoretical course in linear algebra, this text explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The author covers algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. He gives complete proofs of all results and supplements the general theory with many specific examples and concrete computations.