Adjoint of the matrix A = [aij]n×n is defined as the transpose of the matrix [Aij]n×n where Aij is the co-factor of the element aij.
Let’s find the cofactors for all the positions first-
Here, A11 = -3, A12 = 3, A13 = -9, A21 = 0, A22 = -1, A23 = -2, A31 = 0, A32 = 0, A33 = 3.
∴ Adj A =
And |A| = -3.
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