Maths-

General

Easy

Question

# If A and B are square matrices of size n × n such that A^{2} – B^{2} = (A – B) (A + B), then which of the following will be always true –

- AB = BA
- either of A or B is a zero matrix
- either of A or B is an identity matrix
- A = B

Hint:

## The correct answer is: AB = BA

### Given, that 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

Therefore, the correct option is $AB=BA$ .

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