find AB, BA, A +B, A - B, A, B, 5A, 3B. Observe that AB + BA. Show that (A - B)(A + B) # (A + B)(A – B) + A? - B. Show that det AB = det BA = (det A)(det B), but that det(A + B) # det A + det B. Show that det(5A) # 5 det A, and find n so that det (5A) = 5" det A. Find similar results for det (3B). Remember that the point of doing these simple problems by hand is to learn how to manipulate determinants and matrices correctly. 2 -5 2. A =

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