Spin and matrices (20 points total) (10 pts) using the matrix representation of the sa-α-x, y, z operators, compute the matrix representation of s2operator. remember, s is a vector operator, so its square is understood as a dot product of two vectors (each of which is a matrix) (10 pts) using the matrix representation of the s2 operator and the vector representation of the α and b spin states, show that the latter are the eigenvectors of s2 and compute the corresponding eigenvalues.