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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 ___________.

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The correct Answer is:
4

`|"adj "A^(-1)|=|A^(-1)|^(2)=1/(|A|^(2))`
`implies |("adj "A^(-1))^(-1)|=1/(|"adj "A^(-1)|)`
`=|A|^(2)=2^(2)=4`
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