Question: Please provide a detailed solution with all steps shown for this problem. 9. (10 points) Let A be an n x n matrix with columns

Please provide a detailed solution with all steps shown for this problem.

9. (10 points) Let A be an n x n matrix with columns {C1, C2, ..., (n}. If columns of A are linearly independent, show that {A c1, A c2, ..., A (n} is a basis of Rn

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