Explanation Given Information: The provided matrix is, A B C A B C [ 0.3 0 0.4 0.2 1 0.5 0.5 0 0.1 ] . Consider the provided observing stochastic matrix: A B C A B C [ 0.3 0 0.4 0.2 1 0.5 0.5 0 0.1 ] Now, the followings can be observed, In first column, state A leads to state A 0.2% of the time, 0.3% to state B and 0.5% to state C . In second column, state B leads to itself 100% of the time and to the rest states 0% of the time. In third column, state C leads to itself 0.1% of the time and 0.5% to state A and 0.4% to state B . To find the observing state, observe the columns if it has 100% of the time to itself and 0% to other states then it is considered as observing state. Then, state B is observing state, states A and C are not observing state. Clearly, state B is observing state but state A and C are not. To obtain the standard matrix from the absorbing stochastic matrix, first write the column of observing state in the first column of matrix then adjust the rest states according to it, That is, B A C A B C [ 0 0

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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Chapter 8.3, Problem 9E

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The standard form of the absorbing stochastic matrix, ABC ABC[0.300.40.210.50.500.1].

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Chapter 8.3, Problem 8E

Chapter 8.3, Problem 10E

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Chapter 8 Solutions

Finite Mathematics & Its Applications (12th Edition)

Ch. 8.1 - 1. Is a stochastic matrix? Ch. 8.1 - 2. Learning Process An elementary learning process...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 4E Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 7–12, write a stochastic matrix...Ch. 8.1 - Prob. 8E

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The standard form of the absorbing stochastic matrix, A B C A B C [ 0.3 0 0.4 0.2 1 0.5 0.5 0 0.1 ] .

Solution Summary: The author explains the standard form of the provided absorbing stochastic matrix: l

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The standard form of the absorbing stochastic matrix, ABC ABC[0.300.40.210.50.500.1].

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Chapter 8 Solutions