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Suppose T ? L(V, W ) and that T is injective. Prove that{v1, . . . , vn} is linearly independent set of distinct vectors

Suppose T ? L(V, W ) and that T is injective. Prove that{v1, . . . , vn} is linearly independent set of distinct vectors inV iff {T (v1), . . . , T (vn)}is linearly independent in W 2 answers

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