Find the Inverse of the Matrix $\left[ \begin{array} { c c } - 16 & 22 \\- 8 & 11\end{array} \right]$

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } - 16 & 22 \\- 8 & 11\end{array} \right]$ (if it exists) .

A) does not exist
B) $- \frac { 1 } { 16 }$ $\left[ \begin{array} { c c } 11 & - 22 \\8 & - 16\end{array} \right]$
C) $\frac { 1 } { 11 }$ $\left[ \begin{array} { c c } - 16 & 22 \\- 8 & 11\end{array} \right]$
D) $- \frac { 1 } { 22 }$ $\left[ \begin{array} { c c } - 11 & 22 \\- 8 & 16\end{array} \right]$
E) $\frac { 1 } { 8 }$ $\left[ \begin{array} { c c } 11 & - 22 \\8 & - 16\end{array} \right]$