Question:
If $A, B$ are square matrices of order $3, A$ is non-singular and $A B=0$, then $B$ is a
(a) : matrix
(b) singular matrix
(c) unit-matrix
(d) non-singular matrix
Solution:
(a) : matrix
Since A is non-singular matrix and the determinant of a non-singular matrix is non-zero, B should be a : matrix.