Question: Let A and B be square matrices of the same size. (a) Show that (AB)2 = A2B2 if AB = BA. (b) If A and

Let A and B be square matrices of the same size.
(a) Show that (AB)2 = A2B2 if AB = BA.
(b) If A and B are invertible and (AB)2 =A2B2, show that AB= BA.
(c) If A =

show that (AB)2 = A2B2 but AB ‰ BA.

loland B=100

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