FREE Trial

Show that the following linear algebraic system of equations is ill-conditioned: 400x1 - 201x, = 200 -800x, + 401x2...

This problem has been solved!
Do you need an answer to a question different from the above? Ask your question!

Question:

 

Transcribed Image Text:

Show that the following linear algebraic system of equations is ill-conditioned: 400x1 - 201x, = 200 -800x, + 401x2 = -200 by making a slight perturbation to A(1, 1) such as 401.

Expert Answer:

Answer rating: 100% (QA)

answer-question
Related Book For  answer-question
Numerical Analysis

Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

See More Books
View Solution
Create a free account to access the answer
Cannot find your solution?
Post a FREE question now and get an answer within minutes. * Average response time.
Posted Date: August 27, 2020 08:45:19
See More Questions

Students also viewed these mathematics questions

Q:
Show that the following equations have at least one solution in the given intervals. a. x cos x 2x2 + 3x 1 = 0, [0.2, 0.3] and [1.2, 1.3] b. (x 2)2 ln x = 0, [1, 2] and [e, 4] c. 2x cos (2x) (x ...
A:
For each part f C a b on the gi......
Q:
Show that the following hold for all linear transformations 7: Rn Rm; (a) T(-X) = T(X) for all X in Rn.
A:
a We us......
Q:
Show that the following linear program is unbounded: maximize X1 X2 subject to -2x1 + X2 < -1 -X1 2x2 < -2 X1, X2 0 .
A:
To show that the linear program is unbounded we need to find a feasible solution......
Q:
One end of a light, elastic string, of natural length 1.2m and modulus of elasticity 32N, is attached to a fixed point, B. A particle, P, of mass 1.5 kg, is then attached to the other end of the...
A:
a To find the acceleration of P when it is 1 5 m above B we can use the equation for the acceleratio......
Q:
3M Company reported the following financial data for 2009 and 2008 (in millions). Instructions(a) Calculate the current ratio for 3M for 2009 and 2008.(b) Suppose that at the end of 2009, 3M...
A:
a Current ratio 2009 10 795 4 8......
Q:
A two-dimensional fluid element of dimensions dx and dy translates and distorts as shown in Fig. P469 during the infinitesimal time period dt = t 2 t 1 . The velocity components at point P at the...
A:
Click to View...
Q:
Which of the following statements is false regarding corporate tax return due dates? a. Corporate tax returns for 2020 calendar-year corporations are due April 15, 2021. b. Corporate tax returns may...
A:
c Corporate taxes......
Q:
Big Sound, a merchandising company specializing in home computer speakers, budgets its monthly cost of goods sold to equal 70% of sales. Its inventory policy calls for ending inventory in each month...
A:
1 Preliminary calculations sales cost of sales beginning inventory July August September October Nov......
Q:
Your firm is investing in a project. Because of the project, the firm will receive cash flows of $10,000 at the end of years 5, 6, 7, 8, 9, and 10. Using a 12% discount rate, what is the present...
A:
The detailed answer for the above question is provided below To calculate the present value of th......
Q:
Using the alternative-parameter method, determine the parameters of the following distributions based on the given assessments. Refer to Step 5.5 if necessary. a. Find the parameter value for the...
A:
This problem requires RISK First using the alternative parameter method enter the p......
Q:
Respond to the accounting situations below. Prepare the journal entries as required. For each situation, fully discuss the correct accounting treatment, including any required disclosures. Provide an...
A:
A In accordance with IFRS accounting treatment for contract negotiations involves recognizing a prov......
Q:
"Spencer just finished negotiating a sales price of $33,000 for the car of their dreams. Their $5,000 old car will be traded in as a down payment. If they can get a loan for a 9% APR over 6 years,...
A:
To calculate the total cost of this purchase we can break it down into a few components 1......
Q:
Draft a fictional Emergency Petition for the Appointment of a Conservator of the older lady in the movie called " I Care A lot" who was swindled by the guardian, take out the information from that...
A:
Your Name Your Address City State ZIP Code Email Address Phone Number Date Judge s Name Judge s Address City State ZIP Code Re Emergency Petition for......
Q:
(2) (5 marks) 1) Explain the Quick Sort Algorithm with an example. Write a note on the Worst Case, Best Case and Average Case Analysis of Quick Sort Algorithm. (3) 2) Explain with example any real...
A:
1 Explain the Quick Sort Algorithm with an example Quick Sort is a popular sorting algorithm that uses a divide and conquer strategy to efficiently sort an array or list Here s how it works Step 1 Par......
Q:
Because the extrinsic evaluations are realistic but expensive, you have learned an intrinsic evaluation metric, the perplexity PP(W) = (W)/", where n indicates the length of the test data W =...
A:
1 Suppose you measure the perplexity of an unseen weather report data with q and the perplexity of an unseen phone conversation data of the same lengt......
Q:
Gerry's Superette had sales of $5,000,000 in the most recent year. Operating expenses were $3,500,000. Interest and taxes totalled $500,000. Total liabilities were $200,000, and owners' equity was...
A:
To calculate the return on assets ROA and the return on owners equity ROE you can use t......
Q:
Company C purchased a machine costing Rs. 15, 00,000 for its production process. It paid freight Rs. 25000. Cartage Rs. 2000 and installation charges Rs 18000. The company spent an additional amount...
A:
The detailed answer for the above question is provided below As per AS 10 the c......
Q:
Audrey purchases a riding lawnmower using a 2-year, no-interest deferred payment plan at Lawn Depot for x dollars. There was a down payment of d dollars and a monthly payment of m dollars. Express...
A:
Click to View...
Q:
The Runge-Kutta-Verner method (see [Ve]) is based on the formulas wi+1 = wi + 13/160 k1 + 2375/5984 k3 + 5/16 k4 + 12/85 k5 + 3/44 k6 and i+1 = wi + 3/40 k + 875/2244 k3 + 23/72 k4 + 264/1955 k5 +...
A:
Steps 3 and 6 must use the new equations Step 4 must now......
Q:
Approximate Using h = 0.25. Use a. Composite Trapezoidal rule. b. Composite Simpson's rule. c. Composite Midpoint rule. 62 dr
A:
a The Composite Trapezoidal rule a......
Q:
Show that for each n, the Chebyshev polynomial Tn(x) has n distinct zeros in (1, 1).
A:
The zeros of T n x are for k 1 2 n The cos......
Introduction To Statistical Mediation Analysis 1st Edition - ISBN: 0805864296 - Free Book