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 = 10, A12 = 0, A13 = 0, A21 = -10, A22 = 5, A23 = 0, A31 = 2, A32 = -4, A33 = 2.


Adj A =



And |A| = 10.



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