Question: 4. Let L : R5 - R4 be a linear transformation, and let S = {v1, V2, v3} be an indexed subset of R5. Suppose

4. Let L : R5 - R4 be a linear transformation, and let S = {v1, V2, v3} be an indexed subset of R5. Suppose that { L(v1 ), L(v2), L(v3) } is linearly independent. Show that S = {v1, U2, V3} is linearly independent

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