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Which of the rule for a matrix is true ? 5) For nxn matrices A, B, and C, which of the following is always true?

Which of the rule for a matrix is true ?

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5) For nxn matrices A, B, and C, which of the following is always true? (A) (AB)2 = A2 B2 (B) (A + B)2 = A2 + 2AB + B2 (C) (BC+ A)B = B2C + AB (D) A(A+B)B = A2B + AB2 (E) None of the above

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