Solved: Let T : V W and S : V W be linear transformations, and assume that {v1, v2,...
Chapter 6, Problem 23(choose chapter or problem)
Let T : V W and S : V W be linear transformations, and assume that {v1, v2,..., vk } spans V. Prove that if T (vi) = S(vi) for each i = 1, 2,..., k, then T = S; that is, T (v) = S(v) for each v V
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