Let A, B be two 3 × 3 matrices with entries from real numbers. Which one of the following is true?

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(A+B)3=A3+3A2B+3AB2+B3

(AB)2=O⇒AB=O

(A+B)(A−B)=A2−B2

(A+B)A=BA+A2

answer is D.

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Detailed Solution

(a), (b), (c) cannot hold in general unless AB=BA

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