Synopsis:
This book rigorously deals with the abstract theory and, at the same time, devotes considerable space to the numerical and computational aspects of linear algebra. It features a large number of thumbnail portraits of researchers who have contributed to the development of linear algebra as we know it today and also includes over 1,000 exercises, many of which are very challenging. The book can be used as a self-study guide; a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level; or as a reference book.
Review:
From the reviews of the second edition: "The author has designed this book for several possible uses: for self study, as a text for advanced linear algebra for advanced undergraduate or first-year graduate students, as a reference book, or as study guide for Ph. D. qualifying exams. The topics that the author considers are mostly standard ... . the text is full of exercises – more than a thousand of them. How much more than this does an incoming graduate student really need to know?" (William J. Satzer, MathDL, April, 2007) "The second edition has been published by Springer, which certainly testifies to the success of this book as a comprehensive textbook on linear algebra. It has been extensively revised and will continue to be very useful for self-study, as a textbook for advanced linear courses, and for reference purposes." (Rabe von Randow, Zentralblatt MATH, Vol. 1114 (16), 2007)
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