Let S1 and S2 be subsets of a vector space V. Prove that span(S1 ∩ S2) ~ span(S1) ∩ span(S2). Give an example in which span(S1 ∩ S2) and span(S1) ∩ span(S2) are equal and one in which they are unequal.
a) True
b) False