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If A is a square matrix such that A(adjA...

If `A` is a square matrix such that `A(adjA)=[(4,0,0),(0,4,0),(0,0,4)],` then `=(|adj(adjA)|)/(2|adjA|)` is equal to

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We know that A (adj. A) `=|A|I_(n)`
`:. |A|=4`
(i) `|"adj. "A|=|A|^(2)=4^(2)=16`
(ii) `|"adj. (adj. A)"|=|A|^((n-1)^(2))=4^(4)=256" "( :' n=3)`
(iii) `|"adj. (3A)"|=|3^(3-1)" (adj. A)"|=(3^(2))^(3)|"adj. A"|=3^(6)xx16`
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