Question: Let T L(V, W) and let v,. . . Vn V. (a) Prove that if T(v),. .., T(un) are linearly independent, then v,. Un

Let T L(V, W) and let v,. . . Vn V. (a) Prove that if T(v),. .., T(un) are linearly independent, then v,. Un are linearly independent. (b) Prove that if V,..., Un span V, then T(v),...,T(Un) span range T.

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