Let A= \[\begin{bmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{bmatrix}\]
Adjoint of a matrix is defined as the transpose of cofactor matrix.
Cofactor is \[(-1)^{i+j}\] where i represents the \[i^{th}\] row and \[j^{th}\] column.
Minor of a matrix A= \[\begin{bmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{bmatrix}\] is given by \[ \begin{bmatrix}a_{22}&a_{21}\\a_{12}&a_{11}\end{bmatrix}\]
Cofactor of A =\[ \begin{bmatrix}a_{22}& -a_{21}\\-a_{12}&a_{11}\end{bmatrix}\]
transpose of cofactor matrix =\[ \begin{bmatrix}a_{22}& -a_{12}\\-a_{21}&a_{11}\end{bmatrix}\]
