Exercise 2. Let S1 and S2 be subsets of a vector space V . Show that a) span(S1 ∪ S2) = span(S1) span(S2). b) span(S1 ∩ S2) ⊆ span(S1) ∩ span(S2). Additionally, provide one example where span(S1 ∩S2) = span(S1)∩span(S2) and one example where span(S1 ∩ S2) ⊊ span(S1) ∩ span(S2)d 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