In Exercises 1-6, consider a Markov chain with state space with {1, 2,…, n} and the given transition matrix. Identify the communication classes for each Markov chain as recurrent or transient, and find the period of each communication class.
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Linear Algebra and Its Applications (5th Edition)
- In Exercises 1-4, let P=[0.50.30.50.7] be the transition matrix for a Markov chain with two states. Let X0=[0.50.5]be the initial state vector for the population. What proportion of the state 2 population will be in state 2 after two steps?arrow_forwardConsider the Markov chain whose matrix of transition probabilities P is given in Example 7b. Show that the steady state matrix X depends on the initial state matrix X0 by finding X for each X0. X0=[0.250.250.250.25] b X0=[0.250.250.400.10] Example 7 Finding Steady State Matrices of Absorbing Markov Chains Find the steady state matrix X of each absorbing Markov chain with matrix of transition probabilities P. b.P=[0.500.200.210.300.100.400.200.11]arrow_forward
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