- #1
Lucy Yeats
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Homework Statement
Find the eigenvalues and normalized eigenvectors of the rotation matrix
cosθ -sinθ
sinθ cosθ
Homework Equations
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?