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# Linear Algebra Done Right

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This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For examp
...more

Paperback, 251 pages

Published
February 26th 2004
by Springer
(first published November 29th 1995)

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Although by no means official solutions, they are tremendously useful for those us who wish to self-study linear algebra!

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## Community Reviews

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"linear algebra! that's just y = mx + b!!! LOLZ".

Their education is the responsibility of us all, and how often we forget the old ways...

The ...more

Mar 04, 2012
Erickson
rated it
it was amazing
·
review of another edition

Shelves:
mathematics,
algebra

[Second reading]

I read this the second time at the beginning of my physics PhD. It was much more pleasant to read. I am a slow learner, so even if the subject is for beginning undergraduates, a few concepts only make sense to me now. I can also appreciate a little better the whole thing about generalized eigenvectors, nilpotency, Jordan form, and various decomposition (in particular singular value and polar decomposition). I am sure I will forget them soon, considering that I don't use the ...more

I read this the second time at the beginning of my physics PhD. It was much more pleasant to read. I am a slow learner, so even if the subject is for beginning undergraduates, a few concepts only make sense to me now. I can also appreciate a little better the whole thing about generalized eigenvectors, nilpotency, Jordan form, and various decomposition (in particular singular value and polar decomposition). I am sure I will forget them soon, considering that I don't use the ...more

**second**book on linear algebra - something you might want to read once you read a foundation text on linear algebra first. It is a

**full color book**which makes the book rather expensive. It's not a large book, but it's packed with just the right explanations and amount of theory to get you to understand the more mathematical aspects of linear algebra - the topics of spaces, linear maps and related theorems and concepts. The book is very accessible, has plenty of exercises (no solutions thoug ...more

Apr 04, 2008
Dave
added it

I really like this text. It's a nice complement to Halmos, which is curious as Halmos was Axler's advisor.

From a purely aesthetic viewpoint there is something to be said for the approach, but in my experience teaching linear algebra 101 students don't have misgivings about using determinants. They just don't know enough yet to realized something might be amiss so why bother?

That being said, don't pick this up without also studying additional material. LADR is beautiful, but by no means comprehensive:

1) It lacks a lot of material, either in the topics presented, or additional topics (I would love to see the author's treatment of bilinear forms)

...more

this is because the book does not primarily deal with Euclidean vectors a ...more

The problem with linear algebra is its inherit difficulty: It is a subject that is extremely hard to really understand. Despite much study, and a grad class, it still has me well into the level of very limited abilities. Best thing? Press ...more

Aug 17, 2015
Jamie
added it

Wonderful!!!! No determinants til the end. Emphasis on concept over formal, so rare in Lin alg. Weak on determinants - Artin or Halmos, Finite Dimensional Vector Spaces, are better. The only reason I understand Graham-Schmidt conceptually and not as an algorithm to be memorized!!!

May 21, 2015
Nabeel
added it

jhjhljkhjlkjkj.k

Sep 09, 2012
Julia
marked it as to-read

I think I need to study this book. Imagine: presenting Linear

*Algebra*algebraically!!!
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