I need a help on this problem. Thank you.

Problem 7.1 (10 points) Let (Xn)n=0,1,_._ be a Markov chain With state space S = {1,2, 3} and transition probability matrix 0.5 0.4 0.1 P: 0.3 0.4 0.3 0.2 0.3 0.5 (a) Compute the stationary distribution 7r. (b) Is the stationary distribution 77 also the limiting distribution? Give a reason for your