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Are there any resources consisting of a collection of problems on linear algebra for students to practice? I am looking for good interesting problems which test students’ understanding. These questions or examples should be for teaching rather than just testing. The level of difficulty is first year undergraduate.

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You mean beside the felt 1000 books which are intentend to get bought by students panicking at exams ? –  Dominic Michaelis Mar 17 '13 at 11:11
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It is a good idea you browse some of the questions here (math.stackexchange) which are tagged linear algebra. –  Vahid Shirbisheh Mar 17 '13 at 11:40

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up vote 3 down vote accepted

If you are looking for graduate level (doesn't sound like it), you can look at this MSE answer.

For undergraduate, there are several book recommendations:

    • 3,000 Solved Problems in Linear Algebra by Seymour Lipschutz

    • Schaum's Outline of Linear Algebra, 5th Edition (Schaum's Outlines) Seymour Lipschutz, Marc Lipson

    • Linear Algebra: Challenging Problems for Students (Johns Hopkins Studies in the Mathematical Sciences) by Fuzhen Zhang (Author)

    • Linear Algebra Problem Solver (REA) The Editors of REA (Author)

    • Elementary Linear Algebra - K. Matthews, which is free.

    • Too many other books to list (the ones above are probably what you are looking for and very good prices).

  • Other MSE book requests links (see right pane of this page) and search for those.

Additional ideas:

  • Open Courseware at places like MIT and other international universities (lectures and notes).

  • Browse your college library and look through the books and see if there are other examples that fit the style of writing/examples/problems you like.

  • The linear algebra area of Khan Academy.

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Very nice collection! +1 –  amWhy Apr 20 '13 at 0:12

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