Question

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

Answer 1

Answer:

Null matrix

0 0 0

B=[ 0 0 0]

0 0 0

Step-by-step explanation:

Answer 2

Given A,B are square matrices of order 3.

Also given, A is non-singular then A  

−1

 exists.

Now,

AB=O

or, B=A  

−1

O [ Pre-multiplying both sides of the equation by A  

−1

]

or, B=O.

So B is null matrix.