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Math Help - subset U subset is NOT subspace of Superset?

  1. #1
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    subset U subset is NOT subspace of Superset?

    Hello,
    I have an assignment due tomorrow, and Im stuck at this problem:

    Let V be a vector space over any field F, and W1 and W2 be two subspaces of V.
    b) Give examples for V, W1, W2 such that W1 U W2 is NOT a subspace of V.

    Any ideas?
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    In \mathbb{R}^2 : span\{(1,0)\} \cup span\{(0,1)\} is not a subspace - for instance it does not contain (1,0)+(0,1)
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