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A is nxn matrix and v 1 ,v 2 ,...,v n be linearly independent in R n . What must be true about A for

A is nxn matrix and v 1 ,v 2 ,...,v n be linearly independent in R n . What must be true about A for Av 1 , Av 2 ,..., Av 3 to be linearly independent?

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