Question: Let T : V W be a linear transformation and S = {v1, v2, v3} V a linearly independent subset of V . Prove that

Let T : V W be a linear transformation and S = {v1, v2, v3} V a linearly independent subset of V . Prove that if T is one-to-one then T(S) = {T(v1), T(v2), T(v3)} W is also linearly independent.

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