Start with the vector Uo = (1,0). Multiply again and again by the same "Markov matrix" A

Chapter 2, Problem 29

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Start with the vector Uo = (1,0). Multiply again and again by the same "Markov matrix" A = [.8.3; .2.7]. The next three vectors are UI, U2, U3: UI = [.8 .3] [1] = [.8] U2 = AUI = _ .2 .7 .2 What property do you notice for all four vectors uo, U 1, U 2, U 3 ?

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