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(a) Write down the one-step transition matrix P for the following state transition diagram. (b) Find the n-step transition matrix P(n) for n = 200 and 300. Then determine if this Markov chain has steady-state? (4)

(a) Write down the one-step transition matrix P for the following state transition diagram. (b) Find the n-step transition matrix P(n) for n = 200 and 300. Then determine if this Markov chain has steady-state? (4)

Linear Algebra: A Modern Introduction
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. (a) Write down the one-step transition matrix P for the following state transition diagram. (b) Find the n-step transition matrix P(¹) for n = 200 and 300. Then determine if this Markov chain has steady-state? 0.4 2 0 0.5 0.2 (4) 0.3 0.6 0.8 1 0.2 3
Transcribed Image Text:2. (a) Write down the one-step transition matrix P for the following state transition diagram. (b) Find the n-step transition matrix P(¹) for n = 200 and 300. Then determine if this Markov chain has steady-state? 0.4 2 0 0.5 0.2 (4) 0.3 0.6 0.8 1 0.2 3
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