Question: 7. Let A and B be n x n matrices such that A + B is invertible. Then, show that: A(A + B) B =

7. Let A and B be n x n matrices such that A + B is invertible. Then, show that: A(A + B) B = B(A + B) 'A. 8. Let A be a 3 x 3 matrix satisfying A OON =ei+e2, A 0 0 N = ei + (where ei, e2, es, are the unit vectors in R3). Find A-'assuming A is invertible. 9. Let A be a n x n matrix. Show that if A + 5A? = I, then A is invertible

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