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Bretscher, Otto, Linear Algebra with Applications (Fourth Edition), Prentice Hall, Poole, David, Linear Algebra: A Modern Introduction (Third Edition), lying the text can be found at http://www.auburn.edu/~uhligfd/TLA/download/tlateach.pdf.

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David Poole's innovative Linear Algebra: A Modern Introduction, 4th edition, emphasizes a vectors approach and better prepares students to make the transition 

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