Consider the following in respect of matrices A and B of same order:

1. A^2 – B^2 = (A+B)(A–B)

2. (A–I)(I+A) = O ⇔ A^2 = I

where I is the identity matrix and O is the null matrix.

Which of the above is/are correct?

Mathematics 2018 NDA Mathematics 2018 NDA 2018

Options