Confirm Theorem 5 for the Markov chain in Exercise 7 by taking powers of the transition matrix.

Question:

Confirm Theorem 5 for the Markov chain in Exercise 7 by taking powers of the transition matrix.


Data From Exercise 7

In Exercises 7–10, consider a simple random walk on the given directed graph. Identify the communication classes of this Markov chain as recurrent or transient, and find the period of each communication class.


Data From Theorem 5

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Related Book For  book-img-for-question

Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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