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)?d) Including both interactions described in parts (b) and (c), what is the matrix form of the operator Vint (3 points)