2. Consider the rotation matrix -1 R = 2√2 3 (a) Find an axis of rotation. This just means find an eigenvector n of R for the eigenvalue λ = 1 such that |n| = 1. Thus you are looking for a column vector n such that Rn = n. (b) Find the angle of rotation in degrees to two decimal points. Hint: Find any vector v that is perpendicular to n. Then calculate the angle between Rv and v.

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