Show that if S1 (S subscript 1) and S2 are subsets of a vector space V such that S1 ⊆ S2, then span (S1) ⊆ span (S2). In particular, if S1 ⊆ S2 and span (S1) = V, deduce that span (S2) = V.

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- September 13th 2008, 06:55 PMleungstaLinear Algebra - Linear Combination/Span
Show that if S1 (S subscript 1) and S2 are subsets of a vector space V such that S1 ⊆ S2, then span (S1) ⊆ span (S2). In particular, if S1 ⊆ S2 and span (S1) = V, deduce that span (S2) = V.

- September 13th 2008, 07:06 PMThePerfectHacker