Definition:Minor of Determinant/Example

Example of Minor of Determinant
Let $D$ be the determinant defined as:


 * $D = \begin {vmatrix}

a_{1 1} & a_{1 2} & a_{1 3} \\ a_{2 1} & a_{2 2} & a_{2 3} \\ a_{3 1} & a_{3 2} & a_{3 3} \end{vmatrix}$

Then:
 * $\map D {1, 2 \mid 1, 3} = \begin {vmatrix}

a_{1 1} & a_{1 3} \\ a_{2 1} & a_{2 3} \end {vmatrix}$

Note that $\map D {1, 2 \mid 1, 3}$ can also be denoted as $D_{3 2}$.