Question: Suppose that 5 = {v1, v2, v3} is a linearly independent set of vectors in a vector space V. Is T = {w1, w2, w3},

Suppose that 5 = {v1, v2, v3} is a linearly independent set of vectors in a vector space V. Is T = {w1, w2, w3}, where w1 = v1 + v2, w2 = v1 + v3, w3 = v2 + v3, linearly dependent or linearly independent? Justify your answer.

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