Adjoint Matrix can be found by forming the cofactor matrix and then finding its transpose. Adjoint Matrix is defined as follows:

If $A_{n\times n}$= $\left [ a_{ij} \right ]_{n\times n}$, then adj A = $\left [ c_{ij} \right ]_{n\times n}^T$, where Cij = (-1)i+j Mij and Mij indicates minors of the elements.