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In: Advanced Math

Determine if the statement below is True or False. Justify your answer by giving a proof...

Determine if the statement below is True or False. Justify your answer by giving a proof or counterexample. Let A,B,C∈Mn×n(R) . Suppose C is invertible and C=AB. Then the columns of A, B and C are each bases for Rn and B is the change of basis matrix from the columns of C to the columns of A.

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