Question: 3. Show that the following matrices are the transition probability matrix of the same Markov chain with elements of the state space labeled differently. (2/5

3. Show that the following matrices are the transition probability matrix of the same Markov chain with elements of the state space labeled differently.

(2/5 0 0 1/3 1/31 0 3/5 0 1/3 0 1/4 3/4

(2/5 0 0 1/3 1/31 0 3/5 0 1/3 0 1/4 3/4 (2/5 3/5 0 0 0 00 0 P = 0 0 1/2 1/2 P2 = 0 0 " 1/2 1/2 0 1/4 0 0 3/4 0 0 0 0 0 1/3 0 2/3 1/3 1/3 1/3 2/3 00 1/3 0

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