I tried to solve it. But I have no idea :( Could you give me help

5. At each time period, a physical particle can be at one of three locatio s: A, B, or C. ' is never at the same location for two successive time periods and moves to any of the other two locat1ons with probability 1/2. (a) Set up a stochastic matrix corresponding to this Markov process. Is the matrix regular? (Just yes / no answer is not acceptableshow all steps of your reasoning.) (b) Formulate a system of linear equations for nding the stable distribution for this process and use the Gauss-Jordan elimination procedure to solve the system. Find the stable matrix. (c) What is the probability for the particle to be at each location