- Given a rotation matrix what property will you use to find the axis of rotation and the angle of rotation.
- Verify that the matrix \begin{equation} R = \frac{1}{3}\begin{pmatrix} 2 & 2 & -1\\ -1& 2 & 2 \\2 & -1 & 2 \end{pmatrix} \end{equation} represents a proper rotation.
- Find the axis and angle of rotation corresponding to the rotation matrix in (b).
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