Show that A is a doubly stochastic n n matrix if and only if AEn =

Question:

Show that A is a doubly stochastic n × n matrix if and only if AEn = En and EnA = En?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

See More Books

Question Posted: Feb 12, 2018 09:14 AM

See More Questions

1. Show that if A and B are doubly stochastic n Ã n matrices, then AB is also a doubly stochastic n Ã n matrix. Show that (AB) En = En and En (AB) = En? 2. Show that if A is a doubly...
The transition matrix in Example 5 has the property that both its rows and its columns all add up to I. In general. a matrix A is said to be doubly stochastic if both A and AT are stochastic. Let A...
The rows of a Markov chain transition matrix sum to one. A matrix is called doubly stochastic if its columns also sum to one. If a Markov chain has a doubly stochastic transition matrix, show that...
Find the minimum value of the function: f(x) = x^4 - 6x^2 + 9 on the interval [-2,2].
Compute a 95% tolerance interval on the syrup volume described in Exercise 8-31 that has confidence level 90%. Compare the length of the prediction interval with the length of the 95% CI on the...
Prove Equation (8.16). Equation 8.16 dP, P,(t+2(h H)/c)f(h)dh dt 0-
Bonds with the same term to maturity but with smaller coupons have __________ numerical values for duration.
The following is information for three local auto dealers: a. Using the information given in the above table, construct income statements for each company and the industry average. Assume that each...
chapter 12 question 8 cont. Question 2 Not yet answered Marked out of 1.00 P Flag question Which of the following is not required when entering the W4 information during the initial set up of a new...
Perot Corporation is developing a new CPU chip based on a new type of technology. Its new chip, the Patay2 chip, will take two years to develop. However, because other chip manufacturers will be able...
1. Give another example of a 3 3 doubly stochastic matrix. Is your matrix symmetric? Are all 3 3 doubly stochastic matrices symmetric? 2. Give another example of a 4 4 doubly stochastic matrix. Is...
Let A and B be n Ã n doubly stochastic matrices and 0 because A and B are doubly stochastic.) Similarly, the sum of the jth column of C is Therefore, C is doubly stochastic, so the set of all...
Referring to Problem 20, find (a) The kinetic energy of the electron, (b) The potential energy of the atom, and (c) The total energy of the atom. Give your results in eV. Problem 20 A hydrogen atom...
Activity 1.4: When Less Becomes More For this activity, refer to the images shown. This is an activity which was performed for you if you do not have available two identical mirrors at home. But if...
! Required information [The following information applies to the questions displayed below.] Aces Incorporated, a manufacturer of tennis rackets, began operations this year. The company produced...
During the early part of winter, one morning, two hunters decided to go quail hunting on a property where the owner had given them permission to hunt. A nearby forest ranger saw the hunters and...
Required information [The following information applies to the questions displayed below.] Trini Company set the following standard costs per unit for its single product. Direct materials (30 pounds...
A horticulturist knows that the weights of honeybees that have previously visited her orchard are normally distributed with a mean of 0.87 grams, and a population standard deviation of 0.15 grams....
A fertiliser company uses a model to determine how the amount of fertiliser used, f kilograms per hectare, affects the grain yield g, measured in tonnes per hectare. g = 6 + 0.03f 0.00006f 2 a....
A researcher reports a significant two-way between-subjects ANOVA, F(3, 40) = 2.96. State the decision to retain or reject the null hypothesis for this test.
Consider the NFL data in Exercise 12-4. (a) Find a 95% confidence interval on B8. (b) What is the estimated standard error of when x2 = 2000 yards, x7 = 60%, and x8 = 1800 yards? (c) Find a 95%...
Consider the gasoline mileage data in Exercise 12-5. (a) Find 99% confidence intervals on B1 and B6. (b) Find a 99% confidence interval on the mean of Y when x1 = 300 and x6 = 4. (c) Fit a new...
Consider the electric power consumption data in Exercise 12-6. (a) Find 95% confidence intervals on B1, B2, B3, and B4. (b) Find a 95% confidence interval on the mean of Y when x1 = 75, x2 = 24, x3 =...
Slow Roll Drum Co. is evaluating the extension of credit to a new group of customers. Although these customers will provide $198,000 in additional credit sales, 13 percent are likely to be...
Wendell's Donut Shoppe is investigating the purchase of a new $39,600 conut-making machine. The new machine would permit the company to reduce the amount of part-time help needed, at a cost savings...
1.Discuss the challenges faced with Valuing Stocks and Bonds. As part of this discussion, how will the selected item be implemented in an organization and its significance? 2. Discuss how Valuing...

Show that A is a doubly stochastic n n matrix if and only if AEn =

Question:

Step by Step Answer:

Let A be a doubly ...View the full answer

Finite Mathematics and Its Applications

Students also viewed these Statistics questions