This classic volume applies linear algebra to a variety of disciplines–engineering, the physical sciences, social sciences, and business. It motivates the reader with illustrative examples. This is a competitor to Strang.
I bought this book because Professor D recommended it as a good review book for linear algebra. Of course I should state his review first.
"Old book but starts slow and builds up nicely."
It indeed starts very slow, but gives you a good view and understanding of the subject. Through the whole book the author introduces new concepts and methods by stating their meanings to us.
The materials are well arranged. I especially like the way the author emphasize important theorems and proofs by adding "key" before them. However, I do wonder, why there is only a few key proofs. In the second half, there is even no key proofs.
So far I should say it is a good book. However, since its old age, many materials are not important to "modern" peoples and maybe these materials make the structure of the book a little different from present popular text on linear algebra. So I quickly went through the last third of the book and even ignore some parts of it. Because of the outdated stuff in it, it really requires the reader to know something about linear algebra to better manage their efforts on different chapters. Thus, I give it a medium rating.