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If A is a singular amtrix, then adj A is...

If A is a singular amtrix, then adj A is

A

non-sigular

B

singular

C

symmetric

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
B

We have, `absA=0.
Let A be a square matrix of order n. Then,
`abs(adjA)abs(A)^(n-1)`
`rArr abs(adjA)=0`
`rArr " adj A is a singular matrix."`
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