(Solved): In quantum mechanics, the matrices \sigma _(x)=([0,1],[1,0]),\sigma _(y)=([0,i],[-i,0]), and \sigma ...

In quantum mechanics, the matrices \sigma _(x)=([0,1],[1,0]),\sigma _(y)=([0,i],[-i,0]), and \sigma _(z)=([1,0],[0,-1]) are the Pauli matrices. These matrices are very important for understanding the phenomenon of spin. You have already gotten the eigenvalues and eigenvectors for \sigma _(x) on Problem 2. Determine the eigenvalues and eigenvectors for both \sigma _(y) and \sigma _(z).