Find the inverse of each of the matrices (if it exists) given \[ \left[\begin{array}{ccc} 1 & 0 ...

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Find the inverse of each of the matrices (if it exists) given
\[
\left[\begin{array}{ccc}
1 & 0 & 0 \\
0 & \cos \alpha & \sin \alpha \\
0 & \sin \alpha & -\cos \alpha
\end{array}\right]
\]
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