Question: 12.8 Consider a Markov chain with the following transition probability matrix: P = 0 0 1/2 1/2 0 0 1/2 1/2 1/2 1/2

12.8 Consider a Markov chain with the following transition probability matrix:

P =

⎛

⎜⎜⎜⎜⎝

0 0 1/2 1/2 0 0 1/2 1/2 1/2 1/2 0 0 1/2 1/2 0 0

⎞

⎟⎟⎟⎟⎠

Show that the chain is ergodic but not irreducible.

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