Prove that if T : V W is a one-to-one linear transformation and {v1, v2,..., vk } is a

Chapter 6, Problem 43

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Prove that if T : V W is a one-to-one linear transformation and {v1, v2,..., vk } is a linearly independent set of vectors in V, then {T (v1), T (v2), . . . , T (vk )} is a linearly independent set of vectors in W.

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