Let A be an n n matrix, and let v1, v2,..., vn be linearly independent vectors in Rn

Chapter 4, Problem 7

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Let A be an n n matrix, and let v1, v2,..., vn be linearly independent vectors in Rn expressed as n 1 matrices. What must be true about A for Av1, Av2,...,Avn to be linearly independent?

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