Although titled as Matrix Analysis and Applied Linear Algebra, this book is one of the clearest treatments of pure linear algebra in general. Most of the theorems are proved and the proofs are very well motivated. There are no hand-waving arguments yet it is very easy to follow all the material contained. I also noticed that this book provides a smooth transition to introductory functional analysis for those who already possess the adequate real analysis background.
There is an immense collection of well chosen examples throughout the book, and all the solutions are included in the
solution manual which comes as a seperate volume. The whole package(printed version of the book + CD-ROM + solution manual) is bundled, so once you order it, you will have all of them at once).
The organization of the book is also excellent and it manages to maintain a perfect coherence between sections while each chapter can be read alone as well. This is a rare trait indeed. However, this is not a numerical linear algebra book like Demmel`s and Trefethen`s texts, which mostly dwell on algorithmic implementation side, although it is the perfect complement to those two works.
Whole text(in color), including the solution manual, is available online for people who want to take a quick look at it.
The CD-ROM, which comes with the hard copy of the text also contains the electronic version of the book for readers convenience.
Obviously there is no panacea for learning or teaching matrix analysis while resorting to a single text, but this book comes closest to accomplishing this with a rather nice package.