1. The problem statement, all variables and given/known data [tex] S_1 [/tex] and [tex] S_2 [/tex] are subsets of a vector space. When is this:[tex] span(S_1 \cap S_2) = span(S_1) \cap span(S_2) [/tex] true? Prove it. 2. Relevant equations 3. The attempt at a solution conjecture: iff the two subsets are vector spaces.