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2. Consider a Markov chain X = (Xn)n20 with state space S = {1, 2, 3} and transition matrix [0.5 0 0.5] 0 1 0 0.4 0 0.6 (a) Which states are transient and which are recurrent? (b) Is this markov chain irreducible or reducible?

2. Consider a Markov chain X = (Xn)n20 with state space S = {1, 2, 3} and transition matrix [0.5 0 0.5] 0 1 0 0.4 0 0.6 (a) Which states are transient and which are recurrent? (b) Is this markov chain irreducible or reducible?

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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2. Consider a Markov chain X = (Xn)n≥0 with state space S = {1, 2, 3} and transition matrix [0.5 0 0.5] 0 1 0 0.4 0 0.6 (a) Which states are transient and which are recurrent? (b) Is this markov chain irreducible or reducible?
Transcribed Image Text:2. Consider a Markov chain X = (Xn)n≥0 with state space S = {1, 2, 3} and transition matrix [0.5 0 0.5] 0 1 0 0.4 0 0.6 (a) Which states are transient and which are recurrent? (b) Is this markov chain irreducible or reducible?
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