Explanation Given Information: The absorbing stochastic matrix is, [ 1 0 1 6 1 2 2 5 0 1 0 0 2 5 0 0 0 0 0 0 0 2 3 1 2 0 0 0 1 6 0 1 5 ] Formula used: The absorbing stochastic matrix of the form [ I S 0 R ] has the stable matrix [ I S ( I − R ) − 1 0 0 ] . Here, ( I − R ) − 1 is the fundamental matrix. Also, the Gauss Jordan method of finding inverse is as follows: Step 1: Write the provided matrix and combine identity matrix in the right of it. Step 2: Transform left hand matrix into identity matrix by using row operations, do the same operations for the matrix on the right as well. Step 3: After the matrix on the left transforms into an identity matrix, the matrix on the right will be the desired inverse. Calculation: Here, the absorbing stochastic matrix is, [ 1 0 1 6 1 2 2 5 0 1 0 0 2 5 0 0 0 0 0 0 0 2 3 1 2 0 0 0 1 6 0 1 5 ] Now, convert above absorbing stochastic matrix into standard form as, [ I S 0 R ] = [ 1 0 1 6 1 2 2 5 0 1 0 0 2 5 0 0 0 0 0 0 0 2 3 1 2 0 0 0 1 6 0 1 5 ] Compare left and right side of the above equation, the value of R and S is, R = [ 0 0 0 2 3 1 2 0 1 6 0 1 5 ] and S = [ 1 6 1 2 2 5 0 0 2 5 ] Now, to find the stable matrix, calculate ( I − R ) , where I is an identity matrix. I − R = [ 1 0 0 0 1 0 0 0 1 ] − [ 0 0 0 2 3 1 2 0 1 6 0 1 5 ] = [ 1 0 0 − 2 3 1 2 0 − 1 6 0 4 5 ] Now, find the inverse of ( I − R ) that is ( I − R

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134507125

Author: Goldstein

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 8, Problem 11RE

To determine

To calculate: The stable matrix for the absorbing stochastic matrix,

[101612250100250000000231200016015]

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 10RE

Chapter 8, Problem 12RE

Students have asked these similar questions

Every chatgpt give wrong answer Plz no chatgpt

In addition to the in-school milk supplement program, the nurse would like to increase the use of daily vitamin supplements for the children by visiting homes and educating about the merits of vitamins. She believes that currently, about 50% of families with school-age children give the children a daily megavitamin. She would like to increase this to 70%. She plans a two-group study, where one group serves as a control and the other group receives her visits. How many families should she expect to visit to have 80% power of detecting this difference? Assume that drop-out rate is 5%.

A recent survey of 400 americans asked whether or not parents do too much for their young adult children. The results of the survey are shown in the data file. a) Construct the frequency and relative frequency distributions. How many respondents felt that parents do too much for their adult children? What proportion of respondents felt that parents do too little for their adult children? b) Construct a pie chart. Summarize the findings

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 stable matrix for the absorbing stochastic matrix, [ 1 0 1 6 1 2 2 5 0 1 0 0 2 5 0 0 0 0 0 0 0 2 3 1 2 0 0 0 1 6 0 1 5 ]

Solution Summary: The author explains the formula used to calculate the absorbing stochastic matrix.

Videos

To calculate: The stable matrix for the absorbing stochastic matrix,

[101612250100250000000231200016015]

Want to see the full answer?

Chapter 8 Solutions

The stable matrix for the absorbing stochastic matrix, [ 1 0 1 6 1 2 2 5 0 1 0 0 2 5 0 0 0 0 0 0 0 2 3 1 2 0 0 0 1 6 0 1 5 ]

Solution Summary: The author explains the formula used to calculate the absorbing stochastic matrix.

Videos

To calculate: The stable matrix for the absorbing stochastic matrix, [101612250100250000000231200016015]

Want to see the full answer?

Chapter 8 Solutions

To calculate: The stable matrix for the absorbing stochastic matrix,

[101612250100250000000231200016015]