Answer :

Adjoint of the matrix A = [a_{ij}]_{n×n} is defined as the transpose of the matrix [A_{ij}]_{n×n} where A_{ij} is the co-factor of the element a_{ij}.

Let’s find the cofactors for all the positions first-

Here, A_{11} = -1, A_{12} = 0, A_{13} = 0, A_{21} = 0, A_{22} = -cosα, A_{23} = -sinα, A_{31} = 0, A_{32} = -sinα, A_{33} = cosα.

∴ Adj A =

And |A| = 1.

.

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