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) $\quad M _ { 13 } = \left| \begin{array} { l l } 9 & 24 \\ 3 & 18 \end{array} \right| = 90$
$C_{13}=-90$


B) $C _ { 13 } = - 90$ $M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36$
$C _ { 13 } = - 36$

C)
$M _ { 13 } = \left| \begin{array} { c c } - 9 & 6 \\ 3 & - 9 \end{array} \right| = 63$
$C _ { 13 } = - 63$

D)
$M _ { 13 } = \left| \begin{array} { c c } - 6 & 24 \\ 6 & - 18 \end{array} \right| = - 36$
$C _ { 13 } = 36$

E)
$\begin{array} { l } M _ { 13 } = \left| \begin{array} { c c } - 9 & 6 \\3 & - 9\end{array} \right| = 63 \\C _ { 13 } = 63\end{array}$