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 = 2, A12 = -9, A13 = -6, A21 = 0, A22 = -2, A23 = -1, A31 = -1, A32 = 3, A33 = 2.


Adj A =


=


And |A| = -1.



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