Q. 93.7( 18 Votes )
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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