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if A and B are two matrices such that AB = B and BA = A, then $A^{2} + B^{2}$ is equal to

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2AB

2BA

A+B

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detailed solution

Correct option is C

Proceeding as in Example 2, we haveA2=A and B2=B∴ A2+B2=A+B

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if A and B are two matrices such that AB = B and BA = A, then A2+B2 is equal to

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if A and B are two matrices such that AB = B and BA = A, then $A^{2} + B^{2}$ is equal to