Compute the adjoint of each of the following matrices: `[[1, 2, 2],[ 2 ,1 ,2],[ 2, 2, 1]]` (ii) `[[1, 2, 5],[ 2, 3,1],[-1, 1, 1]]` (iii) `[[2,-1, 3],[ 4, 2, 5],[ 0, 4,-1]]` (iv) `[[2, 0,-1],[ 5, 1, 0],[ 1, 1, 3]]` Verify that `(a d j\ A)A=|A|I=A(a d j\ A)` for the above matrices.

Explanation

`(1) A=[[1, 2, 2], [2 , 1 , 2],[ 2, 2 , 1]]`


`|A| =1(1-4)-2(2-4)+2(4-2)
=-3+4+4=5 `


`C_{11}=-3 C_{12}=2 C_{13}=2 `

`C_{21}=2 C_{22}=-3 C_{23}=2`

`C_{31}=2 C_{32}=2 C_{33}=-3`

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