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If A and B are square matrices of order ...

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

A

AB = BA

B

either of A or B is a zero matrix

C

either of A or B is an identity matrix

D

A = B

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The correct Answer is:
A
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