If A `=[(-1,1,1),(1,-1,1),(1,1,-1)]` find the values of
(i) |A||adj A| `" "` (ii) |adj (adj (adjA))|
(iii) |adj(3A)| `" "` (iv) adj (adj A)

Explanation

`because " " A = [{:(-1,1,1),(1,-1,1),(1,1,-1):}]`
`therefore |A| = (-1)(1-1)-(1)(-1-1)+(1)(1+1)=4ne0`
`rArr` A is non-singular.
(i)`|A||adj A| += |A||A|^(2)
= |A|^(3) = 4^(3) =64`
(ii) `|adj (adj(adjA))|=|A|^(3-1^(3)) = |A|^(8) = 4^(8) = 2^(16)`
(iii) `|adj(3A)| =|3^(2) adj A| = (3^(2))^(3)|adjA|`
`=3^(6)|A|^(2) = 729 xx 4^(2) = 11664`
(iv) `adj(adjA) = |A|^(2) A= 16A`