Given the Hamiltonian, H0, below in matrix form

\fTo add interactions between states, we include an interaction potential Vint, so the total Hamiltonian now becomes Htot = Ho + Vint. If the interaction only couples states (1) and 12) (or (1 Vint |2) = V12 # 0) What must the total Hamiltonian look like in matrix form. (3c) Now, if we consider an interaction that ONLY couples states (2) and (3) (or (2/ Vint |3) V23 # 0) What must the total Hamiltonian look like in matrix form (3 points)