The steady-state Multi-group Diffusion equation is as follows. - D (F) (F) +ER (F) (F) Es -Xover (1) () + (S) (1) where the removal cross section is M (5 x 5) Eng = Erg-Eng-g = Eag + Exp- When a finite homogeneous reactor is modeled using five energy groups, the five-group diffusion equation can be expressed by a matrix as shown below. MO= FO $2 4 g F(5 x 5) Consider that a five-group model has the following assumption. a) Fission can be induced by neutrons of any energy and fission neutrons are born in the upper two groups, b) Down-scattering can occur, but only to a neighboring group, c) No up-scattering happens except in the lowest two groups of thermal energy range. Write the detailed matrix form for M (5x5) and F (5x5) of the five-group diffusion equations, considering the assumption above,