If A+B are square matrices of size nxxn...

If A+B are square matrices of size `nxxn` such that `A^(2) - B^(2) = (A-B)(A+B)` , then which of the following will be always true ?

A

Either of A or B is zero matrix

B

A=B

C

AB=BA

D

Either of A or B is an identity matrix

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The correct Answer is:

C

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