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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Originally Posted by very_unique 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 then and vice-versa.
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