Explanation Given Information: An n × n doubly stochastic matrix. Formula used: If A is a doubly stochastic matrix, then the matrix A will follow the conditions, A E n = E n and E n A = E n . Where, E n be the n × n matrix for which each entry is 1. Proof: Assume that A and B are two doubly stochastic n × n matrix. Therefore, for the doubly stochastic matrix A, A E n = E n and E n A = E n . And, for the doubly stochastic matrix B, B E n = E n and E n B = E n . Now, consider an n × n matrix AB

12th Edition

ISBN: 9780134464053

Author: HAIR

Publisher: YUZU

See similar textbooks

Videos

Question

Chapter 8, Problem 5P

To determine

To prove: The matrix AB is a doubly stochastic n×n matrix if A and B are doubly stochastic n×n matrix.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 4P

Chapter 8, Problem 6P

Students have asked these similar questions

A survey of 250 young professionals found that two-thirds of them use their cell phones primarily for e-mail. Can you conclude statistically that the population proportion who use cell phones primarily for e-mail is less than 0.72? Use a 95% confidence interval. Question content area bottom Part 1 The 95% confidence interval is [ ], [ ] As 0.72 is ▼ above the upper limit within the limits below the lower limit of the confidence interval, we ▼ can cannot conclude that the population proportion is less than 0.72. (Use ascending order. Round to four decimal places as needed.)

2. Answer the following questions using vectors u and v. --0-0-0 = find the the cosine similarity and the angle between u and v. འརྒྱ (a) (b) find the scalar projection of u onto v. (c) find the projection of u onto v. (d) (e) (f) find the scalar projection of onto u. find the projection of u onto u. find the projection of u onto and the projection of onto . (Hint: find the inner product and verify the orthogonality)

I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)

Chapter 8 Solutions

EBK FINITE MATHEMATICS & ITS APPLICATIO

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.

To prove: The matrix AB is a doubly stochastic n × n matrix if A and B are doubly stochastic n × n matrix.

Solution Summary: The author proves that the matrix AB is a doubly stochastic ntimes

Videos

To prove: The matrix AB is a doubly stochastic n×n matrix if A and B are doubly stochastic n×n matrix.

Want to see the full answer?

Chapter 8 Solutions