Let V be a vector space and let V1, V2, V3 be vectors in V. Define the set S and S' by S = {v1, V2, V3}, S' = {v1 + V2, Vị – 2v2, Vị + V2 + V3} . (a) Show that span (S) = span (S'). (b) Show that the set S is linearly independent if and only if the set S' is linearly independent.

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