Linear programming problem. Please include all the steps.

2 (5 points). Consider the Markov chain on a state space of three elements with transition matrix 1/3 1/3 1/3 P: 2/3 0 1/3 1/3 2/3 0 (a) Find the mean lst transition time 1301. You must show essential details on the system of equations that is used to solve for the problem, including for example any relevant rrefs of matrixes. (1)) Let 1r : [nonrhrrg] be the steady-state distribution from last homework. Compare 1111 and 1/7r1. What can you conclude from the comparison, and explain your conclusion