Question: Let T1 : V V and T2 : V V be linear transformations and let B = {v1,v2,...,vn } be a basis for V .

Let T1 : V V and T2 : V V be linear transformations and let B = {v1,v2,...,vn } be a basis for V . If T1(vi) = T2(vi) for each i = 1,...,n, prove that T1 = T2.

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