Question: Eigenvector Problem Revised

I was trying to use the LinearAlgebra package to discover the eigenvalues and eigenvectors of the 2x2 matrix representing a rotation in the x-y plane. The matrix [[cos(theta)|-sin(theta)],[sin(theta)|cos(theta)]] However the function, Eigenvectors does not work with this matrix, and the function Eigenvalues returns the eigenvalues of the trasformation but not in the usual complex number notation. Can anyone help with explaining and or resolving this ? v/r, Dan
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