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Find the adjoint of matrix A=[a(i j)]=[[...

Find the adjoint of matrix `A=[a_(i j)]=[[1, 1, 1],[ 2, 1,-3],[-1, 2, 3]]`

Text Solution

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Let `c_ij` be the cofactors of matrix A
`c_11 =[[1, -3],[2, 3]]=9`
`c_12 =-[[2, -3],[-1, 3]]=-3`
`c_13 =[[2, 1],[-1, 2]]=5`
`c_21 =-[[1, 1],[2, 3]]=-1`
`c_22 =[[1, 1],[-1, 3]]=4`
`c_23 =-[[1, 1],[-1, 2]]=-3`
`c_31 =[[1, 1],[1, -3]]=-4`
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