Let A be a 3 3 matrix. Show that if A is the matrix obtained from

Question:

Let A be a 3 × 3 matrix. Show that if A̅ is the matrix obtained from A using any of the operations (E₁) ↔ (E₂), (E₁) ↔ (E₃), or (E₂) ↔ (E₃), then det A̅ = −det A.

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

Step by Step Answer:

Related Book For book-img-for-question

Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

See More Books

Question Posted: Mar 22, 2016 02:54 AM

See More Questions

Let A be a 3 ( 4 matrix, let v1 and v2 be vectors in, and let w = v1 + v2. Suppose v1 = Au1 and v2 = Au2 for some vectors u1 and u2 in. What fact allows you to conclude that the system Ax = w is...
Let A be a m Ã n matrix which represents (exercise 3.253) the payoff function of a two-person zero-sum game in which player 1 has m pure strategies and player 2 has n strategies. Let Z be the...
Let A be a 5 ( 3 matrix, let y be a vector in, and let z be a vector in. Suppose Ay = z. What fact allows you to conclude that the system Ax = 5z is consistent? 23
You have been asked by the principal investigator of a qualitative research project to suggest ideas for maintaining confidentiality of private, sensitive information obtained from human...
You own $10,000. The dollar rate in Tokyo is 216.6752. The yen rate in New York is given in the previous table. Are arbitrage profits possible? Set up an arbitrage scheme with your capital. What is...
ABC Co. and XYZ Co. are identical firms in all respects except for their capital structure. ABC is all-equity financed with $680,000 in stock. XYZ uses both stock and perpetual debt; its stock is...
Give reasons both in favor of and against the use of a personal time charge as a cost estimate for a project activity.
Fazel Chairs, Inc., makes two types of chairs. Model Diamond is a high-end product designed for professional offices. Model Gold is an economical product designed for family use. Irene Fazel, the...
Dwight Donovan, the president of Benson Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to purchase...
A buyer received bids from three suppliers for a vital component part for its latest product. Given the following information, use total cost analysis to determine which supplier should be chosen....
The following statements are needed to prove Theorem 6.12. a. Show that if A1 exists, it is unique. b. Show that if A is nonsingular, then (A1)1 = A. c. Show that if A and B are nonsingular nn...
The solution by Cramers rule to the linear system a 11 x 1 + a 12 x 2 + a 13 x 3 = b 1 , a 21 x 1 + a 22 x 2 + a 23 x 3 = b 2 , a 31 x 1 + a 32 x 2 + a 33 x 3 = b 3 , has And a. Find the solution to...
Refer to the data in Exercise 12-4. Suppose that the CEO of Billing decides to launch an environmental performance improvement program. First, efforts were made to reduce the amount of packaging. The...
Star Trek LLC has 8,000 bonds, two million shares of preferred stock outstanding and seven million shares of common stock outstanding. If the common shares are selling for $17 per share, the...
So the component of the flow velocity that is perpendicular to the isobar in cm/s is: V =2V cos(0)=2(10/(1+2 sin(0))) cos(0) V (10)/[1+2(1) sin(90)] = V = 3.3cm/s
2. The CIBC stock price was very volatile today. a. Using the website below, what did the price of CIBC shares end the day at ? CM.TO: Canadian Imperial Bank of Commerce - Yahoo Finance b. In a brief...
Answer the following according to Florida rules: Abigail Atlas was chatting quietly in the hall outside Courtroom 14-1 with Mariel Topher, an employee of the Hopper Law Firm that was representing...
Draw Free body diagrams for the following 32 situations and write the appropriate x- and y- equations, using the diagram and title to help you (do not solve). Some of the material you have not...
What is meant by the welfare loss of monopoly? Who bears this loss? Determine the regulated price in Figure 19.1 that will eliminate the welfare loss. Why will it be diffi cult in practice to adopt...
A spacecraft has left the earth and is moving toward Mars. An observer on the earth finds that, relative to measurements made when the spacecraft was at rest, its a. length is shorter b. KE is less...
The diagonal elements of the hat matrix are often used to denote leveragethat is, a point that is unusual in its location in the x-space and that may be influential. Generally, the ith point is...
An article entitled A Method for Improving the Accuracy of Polynomial Regression Analysis in the Journal of Quality Technology (1971, pp. 149155) reported the following data on y = ultimate shear...
Consider the following data, which result from an experiment to determine the effect of x = test time in hours at a particular temperature on y = change in oil viscosity: (a) Fit a second-order...
Eye Deal Optometry leased vision - testing equipment from Insight Machines on January 1 , 2 0 2 4 . Insight Machines manufactured the equipment at a cost of $ 2 0 0 , 0 0 0 and lists a cash selling...
help! ee all photos + Add to o e D C N X Edit & Create Share Table of Contents No sales to an individual customer accounted for more than 10% of revenue during any of the last three fiscal years. Net...
Business law A person may have the liability of a partner even though no partnership exists True False

Let A be a 3 3 matrix. Show that if A is the matrix obtained from

Question:

Step by Step Answer:

Let Expanding along the third rows gives a 31 a 12 a 23 a 13 a 22 ...View the full answer

Numerical Analysis

Students also viewed these Numerical Analysis questions