A Markov chain has the transition matrix shown below: P= 0.2 0.1 0.7 0.6 0 0.4 1 0 0 If, on the first observation, the system is in state 1, what is the probability that the system is in state 1 on the third observation?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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A Markov chain has the transition matrix shown below: P= 0.2 0.1 0.7 0.6 0 0.4 1 0 0 If, on the first observation, the system is in state 1, what is the probability that the system is in state 1 on the third observation?
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