Find the Inverse, If It Exists $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

Multiple Choice

Find the inverse, if it exists. $$A = \left( \begin{array} { c c } \frac { 2 } { 9 } & - \frac { 1 } { 13 } \\- 26 & 9\end{array} \right)$$

A) $A ^ { - 1 } = \left( \begin{array} { c c } - 26 & 13 \\- 5 & 9\end{array} \right)$
B) $A ^ { - 1 } = \left( \begin{array} { c c } 1 & 9 \\2 & - 1\end{array} \right)$
C) $A ^ { - 1 } = \left( \begin{array} { l l } - 1 & 5 \\- 2 & 1\end{array} \right)$
D) $A ^ { - 1 } = \left( \begin{array} { c c } 11 & 6 \\13 & - 8\end{array} \right)$
E) $\text { The inverse does not exist. }$