Repeat Problem 67 for

Problem 67
The transition matrix for a Markov chain is

(A)If S0 = [0 1], find S2, S4, S8,.... Can you identify a state matrix S that the matrices Skseem to be approaching?
(B) Repeat part (A) for S0 = [1 0].
(C) Repeat part (A) for S0 = [.5 .5].
(D) Find SP for any matrix S you identified in parts (A)-(C).
(E) Write a brief verbal description of the long-term behavior of the state matrices of this Markov chain based on your observations in parts (A)-(D).

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