If A and B are square matrices of order 3 such that AB = A and BA = B, then A² + B² is equal to: A. A + B B. 2AB C. I D. O Answer: A) A + B Explanation: A² = A(A) = A(BA) = (AB)A = AA... Similarly, B² = B(B) = (BA)B = B(AB) = BA = B. Therefore, A² + B² = A + B.

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If A and B are square matrices of order 3 such that AB = A and BA = B, then A² + B² is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A and B are square matrices of order 3 such that AB = A and BA = B, then A² + B² is equal to:

Answer: A) A + B

Explanation: A² = A(A) = A(BA) = (AB)A = AA... Similarly, B² = B(B) = (BA)B = B(AB) = BA = B. Therefore, A² + B² = A + B.

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