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

question 45

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)​ \[\left[ \begin{array} { l l }
• \cos \theta & - \sin \theta \\
• \sin \theta & - \cos \theta
• \end{array} \right]\]