45. Consider an irreducible finite Markov chain with states . (a) Starting in state i, what is...

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45. Consider an irreducible finite Markov chain with states .

(a) Starting in state i, what is the probability the process will ever visit state j? Explain!

(b) Let Image. Compute a set of linear equations that the Image satisfy, Image.

(c) If Image, show that Image is a solution to the equations in part (b).

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