Question: Let T be a linear transformation from vector space V to W and {v1, . . . be a subset of V. Prove the following

Let T be a linear transformation from vector space V to W and {v1, . . . be a subset of V. Prove the following statement: if T(v1 ), T(v2), . . . , T(Up are linearly independent vectors in W, then v1, v2, . . . , Up are linearly independent in V
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