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If A is a square matrix of order 3 such ...

If `A` is a square matrix of order 3 such that `|A|=2,t h e n|(a d jA^(-1))^(-1)|` is ___________.

A

`1`

B

`2`

C

`4`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `|adjA^(-1)|=|A^(-1)|^(2)=(1)/(|A|^(2))`
`|(adjA^(-1))^(-1)|=(1)/(|adjA^(-1)|)=|A|^(2)=2^(2)=4`
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