Question

If A and B are square matrices of order 3, then ____________.

विकल्प

• adj(AB) = adj A adj B

• |B| = 0 AB = O |B| = 0 ⇒ |A| = 0

• AB = O ⇒ |A| = 0 and |B| = 0

• None of these

Answer 1

If A and B are square matrices of order 3, then |B| = 0 AB = O |B| = 0 ⇒ |A| = 0.

Explanation:

If A B are two order 3 square matrices and |B| = 0, AB = 0, then this is only conceivable if |A| is zero.