Question: asdfasdfas let {v1,v2, ..,Vn} be a basis for a vector space V, and let T: V -> V be a linear transformation. Prove that if

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let {v1,v2, ..,Vn} be a basis for a vector space V, and let T: V -> V be a linear transformation. Prove that if T(vi) = vi for each i = 1, 2, ..., n then Tis the identity transformation. That is T(v) = v for all v E V

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