Question: Let L1 and L2 be linear transformations from a vector space V into a vector space W. Let {v1, v2 ... vn} be a basis

Let L1 and L2 be linear transformations from a vector space V into a vector space W. Let {v1, v2 ... vn} be a basis for V. Show that if L1 (v,) = L2 (v) for i = 1, 2 . . . n, then L1 (v) = L2 (v) for any v in V.

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