Adjugate Matrix/Examples/2 x 2

Example of Adjugate Matrix
Let $\mathbf A$ be the square matrix of order $2$:


 * $\mathbf A = \begin {pmatrix} a & b \\ c & d \end {pmatrix}$

Then the adjugate matrix of $\mathbf A$ is:


 * $\adj {\mathbf A} = \begin {pmatrix} d & -b \\ A_{12} & -c & a \end {pmatrix}$