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I found what seems to be a good linear algebra book. However, I want a more theoretical as opposed to computational linear algebra book. The book is Linear Algebra with Applications 7th edition by Gareth Williams. How high quality is this? Will it provide me with a good background in linear algebra?

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    Not too familiar with the book you listed, but Sheldon Axler's Linear Algebra Done Right seems to offer a pretty thorough theoretical treatment of the subject.2011-12-01
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    There has been a long discussion of this on http://mathoverflow.net/questions/16994/linear-algebra-texts .2011-12-01
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    As for Axler, it is more impractical than theoretical. Pretty much every other text is better in my opinion. For details, see the comments underneath one of the replies in the above-linked MathOverflow discussion.2011-12-01

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