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If A and B are square matrices of the sa...

If A and B are square matrices of the same order such that `A^(2)= A, B^(2) = B, AB = BA = O`, then a)`(A - B)^(2) = B - A` b)`(A- B)^(2) = A - B` c)`(A + B)^(2) = A + B` d)None of these

A

`(A - B)^(2) = B - A`

B

`(A- B)^(2) = A - B`

C

`(A + B)^(2) = A + B`

D

None of these

Text Solution

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The correct Answer is:
C
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