Construct any 3 by 3 Markov matrix M: positive entries down each column add to 1. Show

Chapter 6, Problem 22

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Construct any 3 by 3 Markov matrix M: positive entries down each column add to 1. Show that MT(1, 1, 1) = (1,1,1). By 21, A = 1 is also an eigenvalue of M. Challenge: A 3 by 3 singular Markov matrix with trace! has what A's?

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