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Suppose that V and W are finite dimensional vector spaces. Let a = {V1, v3, . . . ,vn} be a basis of V. Prove:

Suppose that V and W are finite dimensional vector spaces. Let a = {V1, v3, . . . ,vn} be a basis of V. Prove: A linear transformation T: V > W is invertible if and only if T[a) = {T(v1),T(v2), . . . ,T{vn)} is a basis of W

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