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Math Help - Span problem

  1. #1
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    Question Span problem

    How do I prove the following:

    Show that if S1 and S2 are arbitrary subsets of a vector space V, then span (S2 U S2) = span(S1) + span(S2).
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  2. #2
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    Quote Originally Posted by very_unique View Post
    How do I prove the following:

    Show that if S1 and S2 are arbitrary subsets of a vector space V, then span (S2 U S2) = span(S1) + span(S2).
    Show that each one is a subset of eachother. Thus, if v\in \text{spam}(S_1\cup S_2) then v\in \text{spam}(S_1)+\text{spam}(S_2) and vice-versa.
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