Suppose A is a 4 ( 3 matrix and b is a vector in with the property

Question:

Suppose A is a 4 ( 3 matrix and b is a vector in with the property that Ax = b has a unique solution. What can you say about the reduced echelon form of A? Justify your answer.

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

See More Books

Question Posted: May 02, 2016 12:01 PM

See More Questions

Suppose A is a 4 ( 4 matrix and b is a vector in with the property that Ax = b has a unique solution. Explain why the columns of A must span. R4
Suppose A is a 3 3 matrix and b is a vector in R 3 such that the equation Ax = b does not have a solution. Does there exist a vector y in R 3 such that the equation Ax = y has a unique solution?...
Suppose that 0 Converges. What can you say about p and q? dx
Be able to explain how changes in transportation impacted economic growth in the United States prior to WWI.
Work the following binomial distribution problems by using the normal distribution. Check your answers by using Table A.2 to solve for the probabilities. a. P(x = 12 | n = 25 and p = .60). b. P(x > 5...
Is it possible for a project manager to hold too few project review meetings?
True or False. AC HI pot testing of motor winding systems provides the highest stress available for the evaluation of the winding insulation system. It should therefore be performed ONLY on a new...
Assume that the average firm in your companys industry is expected to grow at a constant rate of 6% and that its dividend yield is 7%. Your company is about as risky as the average firm in the...
A stick person applies a Fayp = 300N +35" to a large box with a mass of 70.0 kg (as shown below). The box does not move. Part A The normal force on the box will be: 440 N 386 N 858 N 514 N 686 N...
During July, the following occurred: Cantu invested $20,000 cash in the business. Rented office space and paid the month's rent of $1,000. Purchased sound system equipment for $8,000 by paying $3,000...
Could a set of three vectors in span all of? Explain. What about n vectors in when n is less than m? R4
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...
The following income statement and selected balance sheet account data are available for Treece, Inc., at December 31, 2021. Additional Information 1. Dividend revenue is recognized on the cash...
May a person withdraw a bid he makes at an auction sale before the fall of the hammer?
Why are horizontal mergers more likely to affect competition than other types of mergers?
Is the but for test an appropriate way of determining causation?
When is a manufacturer under a duty to warn?
Is it relevant in a tort action that the injured party has taken out insurance against the loss sustained?
Better Fitness, Inc. (BFI) manufactures exercise equipment at its plant in Freeport, Long Island. It recently designed two universal weight machines for the home exercise market. Both machines use...
Drainee purchases direct materials each month. Its payment history shows that 65% is paid in the month of purchase with the remaining balance paid the month after purchase. Prepare a cash payment...
Refer to an economy that is divided into three sectorsmanufacturing, agriculture, and services. For each unit of output, manufacturing requires .10 unit from other companies in that sector, .30 unit...
Assume that the matrices mentioned below have appropriate sizes. Mark each statement True or False (T/F). Justify each answer. (T/F) If BC = BD, then C = D.
Assume that the matrices mentioned below have appropriate sizes. Mark each statement True or False (T/F). Justify each answer. (T/F) If AC = 0, then either A = 0 or C = 0.
An automobile cooling system holds 16 L of water. How much heat does it absorb if its temperature rises from 20 C to 80 C? A 5.0 kg lead ball is dropped into a 2.0 L insulated pail of water initially...
A 15.0 kg box is allowed to slide from rest down a ramp that makes an angle of 30.0 o to the horizontal. The coefficient of friction between the box and the ramp is 0.400 and the ramp is 5.00 m long....
1. A bowling ball rolls without slipping up a ramp that slopes upward at an angle beta to the horizontal. Treat the ball as a uniform, solid sphere, ignoring the finger holes. What is the...

Suppose A is a 4 ( 3 matrix and b is a vector in with the property

Question:

R4

Step by Step Answer:

If the equation Ax b has a unique solution then the associated system of equations does not have an...View the full answer

Linear Algebra and Its Applications

Students also viewed these Linear Algebra questions