We know that
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 = 3, A21 = -5, A22 = -1.
∴ Adj A =
And |A| = -1(2)-(-3)(5) = 13
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