Find the Minor $M _ { 13 }$ And Its Cofactor $C _ { 13 }$

Multiple Choice

Find the minor $M _ { 13 }$ and its cofactor $C _ { 13 }$ of the matrix $\left[ \begin{array} { c c c } - 9 & 6 & - 24 \\ 9 & - 6 & 18 \\ - 3 & 9 & - 18 \end{array} \right]$

A) $M _ { 13 } = \left| \begin{array} { r r } - 9 & - 24 \\ - 3 & - 18 \end{array} \right| = 90$
$$C _ { 13 } = - 90$$
B) $M _ { 13 } = \left| \begin{array} { c c } 6 & - 24 \\ - 6 & 18 \end{array} \right| = - 36$
$$C _ { 13 } = - 36$$
C) $M _ { 13 } = \left| \begin{array} { c c } 9 & - 6 \\ - 3 & 9 \end{array} \right| = 63$
$$C _ { 13 } = - 63$$
D)
$$\begin{array} { l } M _ { 13 } = \left| \begin{array} { c c } 6 & - 24 \\- 6 & 18\end{array} \right| = - 36 \\C _ { 13 } = 36\end{array}$$
E)
$$\begin{array} { l } M _ { 13 } = \left| \begin{array} { c c } 9 & - 6 \\- 3 & 9\end{array} \right| = 63 \\C _ { 13 } = 63\end{array}$$