Question: Question 2: A stochastic matrix is called doubly stochastic if its columns sum to l. (a) Lot X9. X1. he a Markov chain on .5'

Question 2: A stochastic matrix is called doubly stochastic if its columns sum to l. (a) Lot X9. X1. he a Markov chain on .5' = {1. MA} with douth stochastic transition matrix and initial distribution that is uniform on {1, ..., 1:]. It has the following transition matrix: 0.4 0.3 0.2 0.1 0.1 0.4 0.3 0.2 0.3 0.2 0.1 0.4 0.2 0.1 0.4 0.3 ShowT that the distribution of X,- is pi. = 145,11 all i E 1.2.3.4. p

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