JEE Math Practice Question
If $$A$$ and $$B$$ are square matrices of size $$n\, \times \,n$$ such that $${A^2} - {B^2} = \left( {A - B} \right)\left( {A + B} \right),$$ then which of the following will be always true?
- A.$$A=B$$
- B.$$AB=BA$$
- C.either of $$A$$ or $$B$$ is a zero matrix
- D.either of $$A$$ or $$B$$ is identity matrix
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