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If A and B are two matrices such that AB = B and BA = A, then A² + B² =

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detailed solution

Correct option is C

We have,A2 + B2 = AA + BB = A (BA) + B (AB) (∵ AB = B and BA = A)= (AB) A + (BA) B= BA + AB = A + B (∵ AB = B and BA = A)

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If A and B are two matrices such that AB = B and BA = A, then A2 + B2 =

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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If A and B are two matrices such that AB = B and BA = A, then A² + B² =