The book is a continuation of the authors’ Basic Linear Algebra published in the same series. After a summary of the contents of that volume, the authors proceed to inner product spaces and elements of direct sum decompositions of linear spaces. Then they come to the heart of the book, the primary decomposition theorem. This theorem is subsequently applied to prove the Jordan form theorem and various canonical forms for real and complex matrices. There is also a section on dual spaces and another one on bilinear and quadratic forms. The authors also included a section on the use of MAPLE in linear algebra calculations. Besides numerous well-chosen examples scattered throughout the text, the reader can also enjoy short biographical profiles of twenty one eminent mathematicians associated with the subject

Reviewer:

jtu