Explanation Given Information: The provided matrix is, A B C A B C [ 1 0.2 0 0 0.3 0 0 0.5 1 ] . Consider the provided observing stochastic matrix: A B C A B C [ 1 0.2 0 0 0.3 0 0 0.5 1 ] Now, the followings can be observed, In first column, state A leads to state A 100% of the time and 0% to the rest. In second column, state B leads to itself 0.3% of the time and 0.2% to the A , 0.5% to state C In third column, state C leads to itself 100% of the time and 0% to the rest. 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 not observing state, states A and C are observing state. Clearly, state B is not observing state but state A and C are. To obtain the standard matrix from the absorbing stochastic matrix, first write the column of observing state in the matrix then adjust the rest states according to it, First consider the provided matrix, A B C A B C [ 1 0.2 0 0 0.3 0 0 0.5 1 ] Then take columns of state A and C to one side of matrix, A C B A B C [ 1 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 10E

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The standard form of the absorbing stochastic matrix, ABC ABC[10.2000.3000.51].

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Chapter 8.3, Problem 9E

Chapter 8.3, Problem 11E

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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 [ 1 0.2 0 0 0.3 0 0 0.5 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[10.2000.3000.51].

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Chapter 8 Solutions