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If A and B are square matrices of size n...

If A and 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 A or B is an identity matrix

B

A=B

C

AB=BA

D

either A or B is a zero matrix

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The correct Answer is:
C
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