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? [AIEEE 2006]

either of A or B is a zero matrix

either of A or B is identity matrix

AIEEE 2006 Solved Paper

Section: Mathematics

Question : 132 of 143

Marks: +1, -0

If A and B are square matrices of size n×n such that A2−B2=(A−B)(A+B), then which of the following will be always true?

[AIEEE 2006]

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