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If A is an square matrix of order 3 su...

If `A` is an square matrix of order `3` such that `|A|=2` , then write the value of `|a d j (a d j A)|` .

Text Solution

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We know that`|adj(A)|=|A|^(n-1)`
`|adjadj(A)|=|adjA|^(n-1)`
=`(|A|^(n-1))^(n-1)`
Since the order of matrix is 3 or n=3
`|adjadj(A)|=(2^(3-1))^(3-1)=16`
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