If A and B are square matrices of size \[n\times n\] such that \[{{A}^{2}}-{{B}^{2}}=(A-B)(A+B)\], then which of the following will be always true?

Either of A or B is a zero matrix

Either of A or B is identity matrix

If A and B are square matrices of size \[n\times n\] such that \[{{A}^

1.	If A and B are square matrices of size \[n\times n\] such that \[{{A}^{2}}-{{B}^{2}}=(A-B)(A+B)\], 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
Answer» C. Either of A or B is a zero matrix

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If A and B are square matrices of size \[n\times n\] such that \[{{A}^{2}}-{{B}^{2}}=(A-B)(A+B)\], then which of the following will be always true?

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