a) To Show: The matrix A = V D H [ .10 0 0 .70 .60 0 .20 .40 1 ] V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S .

Question

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Answer 1

Question

Chapter 9.3, Problem 28E

To determine

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

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A study showed the following migration matrix, which describes the movement of the population of the United States during 1989. In 1989, about 34.0% of the total population lived in State A. What percentage of the total population would eventually live in State A if the listed migration probabilities were to remain constant over many years? From: State A Rest of U.S. To: 0.9755 0.0135 State A 0.0245 0.9865 Rest of U.S C... Determine the approximate percentage of the total U.S population that would eventually live in State A if the migration probabilities remained constant. The percentage of the total U.S. population that would eventually live in State A is %. (Round the final answer to one decimal place as needed. Round all intermediate values to six decimal places as needed.)

Answer 2

Question

Chapter 9.3, Problem 28E

To determine

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.3, Problem 28E

To determine

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.3, Problem 28E

To determine

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 9.3, Problem 28E

To determine

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

To determine

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Answer 6

Chapter 9.3, Problem 28E

To determine

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

Answer 7

Chapter 9.3, Problem 28E

To determine

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

Answer 8

To determine

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Answer 9

To determine

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 9.1 - What is a finite stochastic process? What can you...Ch. 9.1 - Prob. 2CQ Ch. 9.1 - Consider a transition matrix T for a Markov chain...Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

a) To Show: The matrix A = V D H [ .10 0 0 .70 .60 0 .20 .40 1 ] V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S .

Solution Summary: The author explains the formula to compute the steady-state matrix for an absorbing stochastic matrix.

Videos

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Want to see the full answer?

Chapter 9 Solutions

a) To Show: The matrix A = V D H [ .10 0 0 .70 .60 0 .20 .40 1 ] V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S .

Solution Summary: The author explains the formula to compute the steady-state matrix for an absorbing stochastic matrix.

Videos

a) To Show: The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

b) To compute: The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H

Want to see the full answer?

Chapter 9 Solutions

a)

To Show:

The matrix A=VDH[.1000.70.600.20.401]V D H is an absorbing stochastic matrix, and rewrite it so that the absorbing state appears first. Partition the resulting matrix, and identify the submatrices R and S.

b)

To compute:

The steady-state matrix of matrix A=VDH[.1000.70.600.20.401]V D H