Let S1 = {u1, u2, ..., um} and S2 = {w1, w2, ..., wn} be two subsets of a vector space V that are disjoint (so no ui is equal to any wj ) with S1 linearly independent and S2 linearly independent. Suppose there exists v 6= 0 with v Span S1 and v Span S2. Is S1 S2 linearly dependent or independent? Prove your assertion is correct