Explain why an equation Ax = b has a solution if and only if b is orthogonal
Question:
Explain why an equation Ax = b has a solution if and only if b is orthogonal to all solutions of the equation ATx = 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (5 reviews)
If the equation ...View the full answer
Answered By
Joseph wambui
I've adverse experience in tutoring and writing of journals and poems
0.00
0 Reviews
10+ Question Solved
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
Question Posted:
Students also viewed these Mathematics questions
-
Show that if A = A T is a symmetric matrix, then Ax = b has a solution if and only if b is orthogonal to ker A.
-
(a) Show that AX = B has a solution if and only if rank A = rank[A B]. (b) lf [AX] = B has no solution, show that rank[A B] = 1 + rank A
-
Mark each statement True or False. Justify each answer. (If true, cite appropriate facts or theorems. If false, explain why or give a counterexample that shows why the statement is not true in every...
-
Question 2: Consider the market for Florida oranges. The demand for Florida oranges is given by the inverse demand function p = 70-2Q The market cost function for firms that sell Florida oranges is...
-
The Steelcase Workplace Index studied the types of work-related activities that Americans did while on vacation in the summer. Among other things, 40% read work-related material. Thirty-four percent...
-
The Alpine House, Inc., is a large retailer of snow skis. The company assembled the information shown below for the quarter ended March 31: Amount Total sales revenue . . . . . . . . . . . . . . . ....
-
Determine the torsional strain energy in the 2014-T6 aluminum shaft. The tube shaft has an outer and inner diameter of \(60 \mathrm{~mm}\) and \(40 \mathrm{~mm}\), respectively. 12 kNm 10 kNm 6 kNm...
-
Glencove Co. makes one model of radar gun used by law enforcement officers. All direct materials are added at the beginning of the manufacturing process. Information for the month of September...
-
2. Discuss two (2) of the four Functional-level strategies (Efficiency,Quality,Innovation,Customer Resp.) - what each is, how it creates customer value and contributes to sustainable competitive...
-
Use the steps below to prove the following relations among the four fundamental subspaces determined by an m x n matrix A. Row A = (Nul A) Col A = .NulA T )? a. Show that Row A is contained in (Nul...
-
All vectors are in R n . Justify each answer. (T/F) An orthogonal matrix is invertible.
-
To what degree do you believe that Curves former owners (the franchisor) is culpable in the failure of so many Curves franchise locations? What is your opinion of North Castle Partners turnaround...
-
I am a manager planning a stock share buyback for my company. How do I calculate the post-buyback number of shares outstanding using: current shares out, share price, loan amount, and tax rate?
-
The percentage of charge in a mobile phone battery, C%, after hours of use can be modelled by the function C = mt+k. Initially, the battery is fully charged. The battery life is 12.5 hours. a i State...
-
(a) The variation of the size of a commercial jet is 200 seats plus-minus . The variation of the fuel consumption is 60 passenger miles per gallon plus-minus. The correlation is -0.48. Find the...
-
1. An investment dealer bought Php 12,500 from Caloy. She promised to pay the interest and the principal after 2 years and 4 months. How much would Caloy receive from baby if he charged interest at...
-
25. The figure below consists of 4 squares of equal size. The area of the whole figure is 16 square inches. Find the length of the diagonal from A to C. D A C B
-
Forty-five percent of Americans like to cook and 59% of Americans like to shop, while 23% enjoy both activities. What is the probability that a randomly selected American either enjoys cooking or...
-
In Problems 1522, find the principal needed now to get each amount; that is, find the present value. To get $750 after 2 years at 2.5% compounded quarterly.
-
Clearly describe what, if anything, is incorrect about each of the following hypotheses. a. H 0 : p 1 p 2 = 0 versus H a : p 1 p 2 0 b. H 0 : = 40 versus H a : < 30 c. H 0 : 1 2 = 0 versus H...
-
For each of the following studies, indicate whether the data were collected in a paired manner and therefore require a paired analysis. a. A farmer wants to know whether hand-milking or...
-
Some smoke alarms for homes with children now use a recording of the mothers voice calling the child by name, as opposed to the beeping sound of conventional smoke alarms. a. Describe how you could...
-
Thermal Rising, Incorporated, makes paragliders for sale through specialty sporting goods stores. The company has a standard paraglider model, but also makes custom-designed paragliders. Management...
-
Golden Manufacturing Company started operations by acquiring $116,000 cash from the issue of common stock. On January 1, Year 1, the company purchased equipment that cost $106,000 cash, had an...
-
Bledsoe Company received $17,000 cash from the issue of stock on January 1, 2016. During 2016 Bledsoe earned $8,500 of revenue on account. The company collected $6,000 cash from accounts receivable...
Study smarter with the SolutionInn App