Find the Inverse of the Following Matrix $\left[ \begin{array} { c c } \cos \theta & \sin \theta \\- \sin \theta & \cos \theta\end{array} \right]$

Multiple Choice

Find the inverse of the following matrix. $\left[ \begin{array} { c c } \cos \theta & \sin \theta \\- \sin \theta & \cos \theta\end{array} \right]$

A) $\left[ \begin{array} { c c } \cos \theta & - \sin \theta \\\sin \theta & \cos \theta\end{array} \right]$
B) $\left[ \begin{array} { c c } - \cos \theta & - \sin \theta \\\sin \theta & \cos \theta\end{array} \right]$
C) $\left[ \begin{array} { c c } \cos \theta & \sin \theta \\- \sin \theta & \cos \theta\end{array} \right]$
D) $\left[ \begin{array} { c c } \cos \theta & \sin \theta \\- \sin \theta & - \cos \theta\end{array} \right]$
E) $\left[ \begin{array} { l l } \cos \theta & - \sin \theta \\\sin \theta & - \cos \theta\end{array} \right]$