Question: Graph Theory: Consider the Markov chain on {1,2, 3} with transition inanix 1/2 0 1/2 P = 1/2 1/2 0 0 1/2 1/2 a. Show

Graph Theory:

Consider the Markov chain on {1,2, 3} with transition inanix 1/2 0 1/2 P = 1/2 1/2 0 0 1/2 1/2 a. Show that P is a regular matrix. b. Find the steady-state vector for this Markov chain. c. What fraction of the time does this chain spend in state 2? Explain your

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