1. The problem statement, all variables and given/known data Find the eigenvalues and normalized eigenvectors of the rotation matrix cosθ -sinθ sinθ cosθ 2. Relevant equations 3. The attempt at a solution c is short for cosθ, s is short for sinθ I tried to solve the characteristic polynomial (c-λ)(c-λ)+s^2=0, and got λ=cosθ±sinθ. I then tried to find the eigenvectors, but only got (0, 0) and couldn't find any others. Where did I go wrong?