Question: Let B = {v1, v2, ..., vn }be a basis for a vector space V . Prove that if a linear transformation T : V

Let B = {v1, v2, ..., vn }be a basis for a vector space V . Prove that if a linear transformation T : V V satisfies T (vi) = vi for each i = 1, 2, ..., n, then T is the identity transformation.

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