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Math Help - Subset tst

  1. #1
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    Subset tst

    I am very confused with the subset tests an i have these three questions that i cannot do
    can someone help me out please.
    i need to show if w is a subspace of v or not.

    1) V
    = M2,2(R) and W = {A 2 V | AT = A}.
    2) V = R3 and W = {(x1, x2, x3) 2 V | 3x1 + x2 x3 = 1}.
    3) V = P2(R), real polynomial functions of degree at most 2, and W= {f 2 V| f(2) = 0}.



    or send me a link from wher ei can get a better understanding of subset. cheers
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  2. #2
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    Did you check whether the subset is closed under vector addition and scalar multiplication?
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  3. #3
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    i am pretty sure it is under additional vector.
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