Question

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

Answer 1

Answer:

NULL MATRIX

Step-by-step explanation:

As we are given that AB = 0 and also A is non – singular so we can take A−1

to both the side to make B=0A−1

and also any matrix multiplied by null matrix will become a null matrix...

Hope it helps uh｡◕‿◕｡

Answer 2

Answer:

Null Matrix

Since A is Non-Singular matrix and the determinant of a Non-Singular matrix is Non-Zero.

So, B should be a Null Matrix.

Step-by-step explanation:

Given :

A, B are square matrices of order 3.

Also given, A is non-singular then  $A^{-1}$   exists.

Now,

AB = 0  

or

B = $A^{-1}$  0 [ Pre-multiplying both sides of the equation by $A^{-1}$  ]

or

B=0.

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Concept: Operations on Matrices - Multiplication of Matrices