# Find the inverse of each of the matrices (if it exists) 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 = -1, A12 = -4, A13 = 1, A21 = 5, A22 = 23, A23 = -11, A31 = 3, A32 = 12, A33 = -6.

Adj A = = .

And |A| = -3. .

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