(2) Find the eigenvalues and eigenvectors of the Pauli matrix along an arbitrary direction o =...

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(2) Find the eigenvalues and eigenvectors of the Pauli matrix along an arbitrary direction o₁ = ·ơ = Nxơx+NyOy + nzoz, where the direction în is determined by the polar angle and the azimuthal angle by în = sin cos x + sin sin oy + cos 0 2. Here Ox, Oz, O2 are the Pauli matrices, X, Y, Z, respectively. (2) Find the eigenvalues and eigenvectors of the Pauli matrix along an arbitrary direction o₁ = ·ơ = Nxơx+NyOy + nzoz, where the direction în is determined by the polar angle and the azimuthal angle by în = sin cos x + sin sin oy + cos 0 2. Here Ox, Oz, O2 are the Pauli matrices, X, Y, Z, respectively.