Question: 4. [2 points each] (a) Let A be an m x n matrix. Prove that A'A is an n x n matrix with rank(A A)

4. [2 points each] (a) Let A be an m x n matrix. Prove that A'A is an n x n matrix with rank(A A) = rank(A). (b) Prove that the square matrix A" A is invertible if and only if rank(A) = n

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