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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 `A` or `B` is a zero matrix

B

`A=B`

C

`A B=B A`

D

neither `A` nor `B` is a zero matrix

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The correct Answer is:
C
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