Question: Let be the transition matrix for a Markov chain with three states. Let be the initial state vector for the population. What proportion of the

Let P = 1/3 ||

be the transition matrix for a Markov chain with three states.

Let
120 X, 180 90

be the initial state vector for the population.

What proportion of the state 1 population will be in state 1 after two steps?

P = 1/3 || 120 X, 180 90

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