I've been given a matrix X which is a 3x3 rotation matrix entries 2/3 -2/3 -1/3
1/3 2/3 -2/3
2/3 1/3 2/3
And I've found that [latex] X^6=I[/latex] Where I is the 3x3 identity matrix
I'm then asked to find the angle of rotation and axis of rotation, however i have no idea how to do this, and also I haven't been told what axis it's rotating about... :S.
Any help would be really appreciated thanks!.