Find the Inverse of the Matrix $\left[ \begin{array} { c c } - 2 & 1 \\5 & 4\end{array} \right]$

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } - 2 & 1 \\5 & 4\end{array} \right]$ (if it exists) .

A) $\frac { 1 } { 13 } \left[ \begin{array} { c c } 4 & - 1 \\- 5 & - 2\end{array} \right]$
B) $- \frac { 1 } { 13 } \left[ \begin{array} { c c } 4 & - 1 \\- 5 & - 2\end{array} \right]$
C) $- \frac { 1 } { 13 } \left[ \begin{array} { c c } - 4 & 1 \\5 & 2\end{array} \right]$
D) $- \frac { 1 } { 13 } \left[ \begin{array} { c c } - 2 & 1 \\5 & 4\end{array} \right]$
E) does not exist