Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with -ix (1/2 1/2 0 0 1/7 0 3/7 3/7 0 1/3 1/3 1/3 0 2/3 1/6 1/6, ow you can tell this Markov chain has a limiting distribution and how compute it. Your answer should refer to the relevant Theorems in
Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with -ix (1/2 1/2 0 0 1/7 0 3/7 3/7 0 1/3 1/3 1/3 0 2/3 1/6 1/6, ow you can tell this Markov chain has a limiting distribution and how compute it. Your answer should refer to the relevant Theorems in
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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Question
![2.-
Let X₁, 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
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 in
the notes.
(b) Find the limiting distribution for this Markov chain.
(100)
(c) Without doing any more calculations, what can you say about p₁,1
(100) ?
and P2,1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf749889-19ce-49a6-b9e8-17a0d2b180b5%2F8b0defe6-53c6-43e5-ae74-838029e34951%2Fomvhj3s_processed.png&w=3840&q=75)
Transcribed Image Text:2.-
Let X₁, 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
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 in
the notes.
(b) Find the limiting distribution for this Markov chain.
(100)
(c) Without doing any more calculations, what can you say about p₁,1
(100) ?
and P2,1
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