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Math Help - Vector Space help!

  1. #1
    Newbie
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    Mar 2010
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    Vector Space help!

    Hi, I have trouble understanding vector space and how to determine whether something is a vector space or not. I am having trouble with these problems.

    Determine whether the set, together with the indicated operations, is a vector space. If not, identify at least one of the ten vector space axioms that fails.

    1) M sub 1,1 ( I guess it's a matrix 1x1?)

    2) the set of all fifth degree polynomials with the standard operations

    3) the set of all first degree polynomial functions ax+b, a is not equal to 0, whose graphs pass through the origin with the standard operations.

    Please help. Thank you.
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  2. #2
    Senior Member Tinyboss's Avatar
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    Jul 2008
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    Vector spaces are closed under addition, which should help you dispose of (2) and (3).
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