(a) To find: The proportion of land present for each category and present it as a probability matrix.

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Answer 1

Question

Chapter 11.2, Problem 11E

To determine

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

To determine

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

To determine

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

To determine

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

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Consider the cones K = = {(x1, x2, x3) | € R³ : X3 ≥√√√2x² + 3x² M = = {(21,22,23) (x1, x2, x3) Є R³: x3 > + 2 3 Prove that M = K*. Hint: Adapt the proof from the lecture notes for finding the dual of the Lorentz cone. Alternatively, prove the formula (AL)* = (AT)-¹L*, for any cone LC R³ and any 3 × 3 nonsingular matrix A with real entries, where AL = {Ax = R³ : x € L}, and apply it to the 3-dimensional Lorentz cone with an appropriately chosen matrix A.

I am unable to solve part b.

Answer 2

Question

Chapter 11.2, Problem 11E

To determine

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

To determine

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

To determine

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

To determine

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

Chapter 11.2, Problem 11E

To determine

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

To determine

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

To determine

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

To determine

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 11.2, Problem 11E

To determine

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

To determine

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

To determine

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

To determine

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 11.2, Problem 11E

To determine

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

To determine

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

To determine

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

To determine

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

Answer 6

Chapter 11.2, Problem 11E

To determine

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

Answer 7

Chapter 11.2, Problem 11E

To determine

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

Answer 8

To determine

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

Answer 9

To determine

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

Answer 10

To determine

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

Answer 11

To determine

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

Answer 12

To determine

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

Answer 13

To determine

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 11.0A - In Exercises 1-10, a find the dimensions of the...Ch. 11.0A - Prob. 2E Ch. 11.0A - Prob. 3E Ch. 11.0A - Prob. 4E Ch. 11.0A - Prob. 5E Ch. 11.0A - Prob. 6E Ch. 11.0A - Prob. 7E Ch. 11.0A - Prob. 8E Ch. 11.0A - Prob. 9E Ch. 11.0A - In Exercises 1-10, a find the dimensions of the...

(a) To find: The proportion of land present for each category and present it as a probability matrix.

Solution Summary: The author analyzes the proportion of land present for each category and presents it as a probability matrix.

Concept explainers

Videos

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.

Want to see the full answer?

Chapter 11 Solutions

(a) To find: The proportion of land present for each category and present it as a probability matrix.

Solution Summary: The author analyzes the proportion of land present for each category and presents it as a probability matrix.

Concept explainers

Videos

(a) To find: The proportion of land present for each category and present it as a probability matrix.

(b) To find: The transitional probability of a land to be converted to some other category and its transitional matrix.

(c) To find: The amount of land as cropland, potential cropland, and noncropland in 1987.

(d) To find: The amount of land as cropland, potential cropland, and noncropland in 1997.

Want to see the full answer?

Chapter 11 Solutions

(a)

To find:

The proportion of land present for each category and present it as a probability matrix.

(b)

To find:

The transitional probability of a land to be converted to some other category and its transitional matrix.

(c)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1987.

(d)

To find:

The amount of land as cropland, potential cropland, and noncropland in 1997.