The set of solutions to a nonhomogeneous system of linear equations Ax = c is an affine

Question:

The set of solutions to a nonhomogeneous system of linear equations Ax = c is an affine set.
The converse is also true.

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

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:40 AM

See More Questions

The set of solutions to a system of linear inequalities Ax c is a convex set.
The set of solutions to a homogeneous system of linear inequalities Ax 0 is a convex cone.
Prove that the set of solutions to the second order ordinary differential equation u" = xu forms a vector space.
Doug, Peter, and Jack have the following capital balances;$150,000, $300,000 and $320,000, respectively. The partners shareprofits and losses 35%, 40%, and 25% respectively. Jones is goingto pay a 2...
In one survey, successful female entrepreneurs were asked to state their personal definition of success in terms of several categories from which they could select. Thirty-nine percent responded that...
(a) What are the phases of the corporate life cycle? (b) What effect does each phase have on the numbers reported in a statement of cash flows?
Which item appears on a statement of cash flow's prepared by the indirect method? a. Payments to suppliers b. Payments of income tax c. Depreciation d. Collections from customers
Abernathy, Inc., produces two different generators and is concerned about their quality. The company has identified the following quality activities and costs associated with the two products:...
THREE i. Calculate the value of Macaulay's duration for a 10-year, $1000 par value bond purchased today at a yield to maturity of 14% and a coupon rate of 10%. (6 marks) ii. From the answer in (i)...
As the auditor of Clearwater County you learn that various assets are subject to spending constraints. Indicate how each of the following constraints would affect the countys reported fund balance...
A player i is called a null player in a game (N, w) if he contributes nothing to any coalition, that is, if w(S {i}) = w(S) for every S N Verify that the Shapley value of a null player is zero,...
Every affine set in n is the solution set of a system of a linear equations.
Which stars do you think have the highest densities? The lowest?
Discuss the major threats to validity associated with this design and type of research (experimental). How will these threats be addressed in accordance based on the discussion of the control...
A company has an opening stock of 6,000 units of output. The production planned for the current period is 24,000 units and expected sales for the current period amount to 28,000 units. The selling...
Identify the assignment technique to be used. Develop a hypothetical research scenario that would necessitate the use of a Solomon N-Group Design. The research will be considered nonexperimental.
Develop the appropriate primary research question to be associated with this design, including the research questions that will address main effects and interactions. Develop a hypothetical research...
Discuss the various control techniques that will be used with this specific design. Develop a hypothetical research scenario that would necessitate the use of an A-B-A Design. The research will be...
How would an increase in efficiency and production benefit your employees?
What is an insurable interest? Why is it important?
An article in Nuclear Engineering International (February 1988, p. 33) describes several characteristics of fuel rods used in a reactor owned by an electric utility in Norway. Measurements on the...
A post mix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup...
An article in the Journal of Composite Materials (December 1989, Vol 23, p. 1200) describes the effect of delamination on the natural frequency of beams made from composite laminates. Five such...
Shopwell is a U . K . grocery chain that is a subsidiary of Premium Products, a U . S . company. Premium s fiscal year ends January 3 1 . On February 1 , 2 0 2 1 , Shopwell s inventory balance...
Smug Ltd produces and sells two versions of fruit juicers: Deluxe and Premium. The juicers produced by Smug Ltd use a patented technology to extract maximum possible juice from most fruits. The...
Sona Corp manufactures fabric bags. It manufactures two sizes of bags: Small size and Large size using the same production facility. The following information is available for the forthcoming month:...

The set of solutions to a nonhomogeneous system of linear equations Ax = c is an affine

Question:

Step by Step Answer:

Let x x For every x y a...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions