Question

If A, B be two square matrices such that |AB| = O, then ____________.

Options

• BA

• Det.B = 0

• Det. A = 0 or Det. B = 0 or both A and B = 0

• Det.= A = 0

Answer 1

If A, B be two square matrices such that |AB| = O, then Det. A = 0 or Det. B = 0 or both A and B = 0.

Explanation:

If A B be two square matrices such that AB = O then, |AB| = O ⇒ |A||B| = O ⇒ either |A| = 0 or |B| = 0