Question: Suppose that S = {v1, v2, v3} is a linearly independent set of three vectors from C873. Prove that the set T = {2v1 +

Suppose that S = {v1, v2, v3} is a linearly independent set of three vectors from C873. Prove that the set
T = {2v1 + 3v2 + v3, v1 - v2 + 2v3, 2v1 + v2 - v3}
is linearly independent.

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