Question: 8= 16 4. Let o = and d = . [15 marks] Let d 1 - d T = 1-d HOO OR 0 be the

8= 16 4. Let o = and d = . [15 marks] Let d 1 - d T = 1-d HOO OR 0 be the transition matrix of the Markov Chain. (See Section 2.9 of the textbook about Markov Chain.) (a) Diagonalize T. = 2 B (b) Let a = b = and c = -, where = atBty atBty atBty 7 What is the state vector Sn after n transitions if the initial state vector is so = ? (c) Compute Soo = lim Sn. Show that so is a steady-state for this Markov chain. n-+ 00

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