2. Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix 1/2 1/2 0 0 1/7 0 3/7 3/7 1/3 1/3 1/3 2/3 1/6 1/6, 0 0 (a) Explain how you can tell this Markov chain has a limiting distribution and how you could compute it. Your answer should refer to the relevant Theorems

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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2.
Let X₁, X₁,... be the Markov chain on state space {1,2,3,4} with
transition matrix
0
1/2 1/2 0
1/7 0 3/7 3/7
1/3 1/3 1/3
0
0
2/3 1/6 1/6,
(a) Explain how you can tell this Markov chain has a limiting distribution and how
you could compute it. Your answer should refer to the relevant Theorems
Transcribed Image Text:2. Let X₁, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix 0 1/2 1/2 0 1/7 0 3/7 3/7 1/3 1/3 1/3 0 0 2/3 1/6 1/6, (a) Explain how you can tell this Markov chain has a limiting distribution and how you could compute it. Your answer should refer to the relevant Theorems
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