Introductory linear algebra book covering vector spaces and eigenvalues

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dekoi
Does anyone have suggestions on an introduction to Linear Algebra? I need a book that covers all or most of these topics in an introductory manner: Systems of linear equations and matrices. Determinants. Vector spaces. Inner product spaces. Eigenvalues and eigenvectors.
 
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I read Shilov's 'Linear Algebra' published by Dover. I consider it cheap and adequate.

 
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all books cover that stuff. numerous free ones have been described here. e.g. the one on the website http://www.math.uga.edu/~roy/ is the world's shortest at 15 pages covering far more than those topics.

much better is the one by sharipov.
 
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http://joshua.smcvt.edu/linalg.html/

Here's the direct link to the book:
ftp://joshua.smcvt.edu/pub/hefferon/book/book.pdf[/URL]

And here are the answers to all the exercises:
[PLAIN]ftp://joshua.smcvt.edu/pub/hefferon/book/allanswers.pdf[/URL]
 
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