Explanation Given Information: The provided matrix is, A B C D A B C D [ .1 1 .6 0 .2 0 .1 0 .3 0 .2 0 .4 0 .1 1 ] Calculation: Consider the provided observing stochastic matrix: A B C D A B C D [ .1 1 .6 0 .2 0 .1 0 .3 0 .2 0 .4 0 .1 1 ] Now, the followings can be observed, In first column, state A leads to itself 0.1% of the time and 0.2% to the B, 0.3% to state C, 0.4% to the D. In second column, state B leads to itself 0% of the time and 1% to the A, 0% to state C and D. In third column, state C leads to itself 0.2% of the time and 0.6% to the A, 0.1% to state B, 0.1% to state D. In fourth column, state D 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. Therefore, state A, B and C are not observing state, only D is observing state. 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 D A B C D [ .1 1 .6 0 .2 0

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134507125

Author: Goldstein

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 8.3, Problem 11E

To determine

To calculate: The standard form of the provided absorbing stochastic matrix,

A B C DABCD[.11.60.20.10.30.20.40.11]

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.3, Problem 10E

Chapter 8.3, Problem 12E

Students have asked these similar questions

find the rate of return on this investment for account

Please Help me answer this linear algebra question. This is a practice textbook question.

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

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The standard form of the provided absorbing stochastic matrix, A B C D A B C D [ .1 1 .6 0 .2 0 .1 0 .3 0 .2 0 .4 0 .1 1 ]

Solution Summary: The author explains the standard form of the provided absorbing stochastic matrix: lD A B C

Videos

To calculate: The standard form of the provided absorbing stochastic matrix,

A B C DABCD[.11.60.20.10.30.20.40.11]

Want to see the full answer?

Chapter 8 Solutions

The standard form of the provided absorbing stochastic matrix, A B C D A B C D [ .1 1 .6 0 .2 0 .1 0 .3 0 .2 0 .4 0 .1 1 ]

Solution Summary: The author explains the standard form of the provided absorbing stochastic matrix: lD A B C

Videos

To calculate: The standard form of the provided absorbing stochastic matrix, A B C DABCD[.11.60.20.10.30.20.40.11]

Want to see the full answer?

Chapter 8 Solutions

To calculate: The standard form of the provided absorbing stochastic matrix,

A B C DABCD[.11.60.20.10.30.20.40.11]