Consider a two-state system (i. e. the hilbert space is two-dimensional) whose hamiltonian h has uormalized eigenstates lr) and l'2) with nondegenerate energy cigeivalues e, and ea, respec- tively. the same system has an observable q whose eigenstates are |φ+ (w) +№))and lp-) = ( v1)- ψ with nondegenerate eigenvalues λ+ and λ-, respectively. a) do h and q commute? b) express the eigenstates of h in terms of the cigenstates of q c) write h and q as explicit matrices in the [ivr)./2)) basis d) write h and q as explicit inatrices in the {lo+), io) basis. e) suppose the system is initially in the state |φ+). find the expectation values of h functions of time.