Find the Inverse of the Matrix $\left[ \begin{array} { c c } - 24 & 18 \\- 12 & 9\end{array} \right]$

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } - 24 & 18 \\- 12 & 9\end{array} \right]$ (if it exists) .

A) $\frac { 1 } { 12 } \left[ \begin{array} { c c } 9 & - 18 \\12 & - 24\end{array} \right]$
B) $- \frac { 1 } { 24 } \left[ \begin{array} { c c } 9 & - 18 \\12 & - 24\end{array} \right]$
C) $- \frac { 1 } { 18 } \left[ \begin{array} { c c } - 9 & 18 \\- 12 & 24\end{array} \right]$
D) $\frac { 1 } { 9 } \left[ \begin{array} { c c } - 24 & 18 \\- 12 & 9\end{array} \right]$
E) does not exist