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If A, B are square matrices of order 3,A...

If A, B are square matrices of order 3,A is non0singular and AB = O, then B is a

A

null matrix

B

singular matrix

C

unit matrix

D

non-singular matrix.

Text Solution

Verified by Experts

The correct Answer is:
A
It is given that `absAne0`.
So, `A^(-1)`exists.
Now,
`AB=O`
`rArr A^(-1) (AB) =A^(-1) O`
`rArr (A^(-1)A) B=OrArr IB =OrArr B=O`
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