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Product details
File Size: 14798 KB
Print Length: 320 pages
Publisher: Dover Publications (July 31, 2012)
Publication Date: July 3, 2012
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B00ETILFJY
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Amazon Best Sellers Rank:
#1,077,307 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
This book has little in it that I cannot find in free texts. The exposition in the book is not the easiest to follow.The author seems preoccupied with determinants, but makes an egregious error in chapter 1 problem 2, where he asserts that if (AB) is square, then det(AB) = det(BA), then asks the reader to verify a similar phenomenon for trace(AB) = trace(BA). In fact the trace equality is always the case if AB exists as square. The determinant equality needs qualifications and exists iff A and B are both square, or if both AB and BA are not invertible in the case of A being m x n and B being n x m, where m != n. Otherwise det(AB) != det(BA).Further, for a book to be about "Matrix Theory", talk about numeric stability, etc. and to not even mention the Singular Value Decomposition... is really unacceptable to me.Finally, there are no solutions to the exercises.There are much better free books out there. For instance consider reading "Linear Algebra, Theory And Applications" made freely available by the author, Kenneth Kuttler.In game theoretic terms, this book is dominated by free texts. It is quite an old text, so perhaps it was useful in a pre-internet era. I would not recommend buying this nowadays.
excellent read. take the time to go through this book and you will be rewarded.
When I read this book, I did it to remember some concepts that I had forgotten. So, I got this book more for reference than to learn something new. I was impressed with the succinct presentation. An excellent cost / benefit ratio.
The best reference / refresher text I've found. It is written in the "old style" with concise text, proofs, and derivations. Highly recommended to grad students / researchers whose primary field is not necessarily mathematics, or those who teach undergraduate / graduate level math courses involving matrix analysis.
Franklin's Matrix Theory gives in-depth explanations of the all techniques used for linear algebra (e.g., determinants, eigenvectors). The book offers detailed proofs that an elementary linear algebra textbook would not provide. Unfortunately, the book is written in a highly abstract fashion with few numerical examples. Furthermore, the book offers a limited number of problems, with no answer keys, thus precluding its use in a classroom setting. Matrix Theory is horrible as a textbook, but could be useful as a reference guide for someone looking for specific linear algebra proofs.
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