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4. Let L R R be a linear transformation, and let S = {1, 2, 3} be an indexed subset of R. Suppose that

4. Let L R R be a linear transformation, and let S = {1, 2, 3} be an indexed subset of R. Suppose that (L(vi), L(v2), L(vs)) is linearly independent. Show that S = {v1, v2, v3} is linearly independent.

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