Solved: Let x1, x2, and x3 be linearly independent vectors in Rn and let y1 = x1 + x2

Chapter 3, Problem 6

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Let x1, x2, and x3 be linearly independent vectors in Rn and let y1 = x1 + x2, y2 = x2 + x3, y3 = x3 + x1 Are y1, y2, and y3 linearly independent? Prove your answer.

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