If A, B are square matrices of order 3, A is non-singular and AB = O, then B is a
Question:

If $A, B$ are square matrices of order $3, A$ is non-singular and $A B=0$, then $B$ is a

(a) null matrix

(b) singular matrix

(c) unit-matrix

(d) non-singular matrix

Solution:

(a) null matrix

Since A is non-singular matrix and the determinant of a non-singular matrix is non-zero, B should be a null matrix.