Let A and B be square matrices of the same size. (a) Show that (AB)2 = A2B2
Question:
(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 =
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show that (AB)2 = A2B2 but AB ‰ BA.
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b The condition AB2 A 2 B 2 ...View the full answer
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