(a) Prove that if A and B are n n matrices, then (A + 2B) 3 = A3 + 2A2B + 2ABA + 2B A2 +
Chapter 2, Problem 46(choose chapter or problem)
(a) Prove that if A and B are n n matrices, then (A + 2B) 3 = A3 + 2A2B + 2ABA + 2B A2 + 4AB2 + 4 BAB + 4B2 A + 8B3. (b) How does the formula change for (A 2B)3?
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