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Math Help - Span and Subspace Question

  1. #1
    Junior Member
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    Span and Subspace Question

    Let V be a vector space over a field F, and let S\subset S' be subsets of V.

    a) Show that span(S) is a subspace of V.

    b) Show that span(S) is a subset of Span(S').

    c) Take  V = R^3 and give an example to show that it is possible that Span(S) = Span (S') even though  S \subset S' and  S \neq S' .

    d) Let U,W be subspaces of V. Prove that U+W is also a subspace of V.
    Last edited by kbartlett; October 13th 2008 at 12:26 PM.
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  2. #2
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    I think subspace is a set closed under addition and scalar multiplication, i dont know if thats any help thou.
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