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

12th Edition

ISBN: 9781323788707

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

2) dassify each critical point of the given plane autovers system x'=x-2x²-2xy y' = 4y-Sy³-7xy

Evaluate the next integral

1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative maximum and minimum values of f. (a) f(x) = x² - 2x²+3 (b) f(x) = (x+1)5-5x-2 (c) f(x) = x2 x-9 2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f. (a) f(x) = x - 2x²+3 (b) g(x) = x³- x (c) f(x)=x-6x3 + x-8 3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test. (a) f(x)=1+3x² - 2x3 (b) g(x) = 2x3 + 3x² - 12x-4

Chapter 8 Solutions

FINITE MATHEMATICS & ITS APPLICATIONS

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]