Apply Jacobis method to the given system. Take the zero vector as the initial approximation and work
Question:
Apply Jacobi’s method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like.
3x1 - x2 = 1
-x1 + 3x2 - x3 = 0
-x2 + 3x3 - x4 = 1
-x3 + 3x4 = 1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 73% (15 reviews)
The exact solution is x 1 x 2 x 3 x 4 115 ...View the full answer
Answered By
Ajeet Singh
Hi there! Are you looking for a committed, reliable, and enthusiastic tutor? Well, teaching and learning are more of a second nature to me, having been raised by parents who are both teachers. I have done plenty of studying and lots of learning on many exciting and challenging topics. All these experiences have influenced my decision to take on the teaching role in various capacities. As a tutor, I am looking forward to getting to understand your needs and helping you achieve your academic goals. I'm highly flexible and contactable. I am available to work on short notice since I only prefer to work with very small and select groups of students. Areas of interest: Business, accounting, Project management, sociology, technology, computers, English, linguistics, media, philosophy, political science, statistics, data science, Excel, psychology, art, history, health education, gender studies, cultural studies, ethics, religion. I am also decent with math(s) & Programming. If you have a project you think I can take on, please feel welcome to invite me, and I'm going to check it out!
5.00+
4+ Reviews
24+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises 1-3, apply Jacobi's method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within...
-
3x1 - x2 + x3 = 4 - x1 + 7x2 - 2x3 = 1 2x1 + 6x2 - x3 = 5 Solve by Cramer's rule, where it applies.
-
x1 - 3x2 + x3 = 4 2x1 - x2 = - 2 4x1 - 3x3 = 0 Solve by Cramer's rule, where it applies.
-
State whether the following statements are true or false. Also, very briefly mention the reason if the statement is false. i. TOFO Surfactants increase the surface tension of water. ii. TOFO The Mach...
-
How could a well-designed training program help make this idea meet ethical as well as legal standards?
-
In 2008, Walter Payton Company had net sales of \($900,000\) and cost of goods sold of \($540,000\). Operating expenses were \($230,000\), and interest expense was \($11,000\). Payton prepares a...
-
Find the = 0.01 critical value for the chi-square statistic with 5 degrees of freedom.
-
The Clarence Corporation has issued bonds that pay semiannually with the following characteristics: a. Calculate modified duration using the information provided. b. Explain why modified duration is...
-
On Wednesday 21st June you are instructed to act for Bill Bright. He has sold his house to David Dull and there is no agent involved. You are asked to prepare the necessary documents to 'seal the...
-
Fundamentals of Income Tax 2019 Owen (SIN 805 232 105) and Sonja (SIN 805 232 212) Cornell are married. They live at 2621 River Road, Your City, YP, P0M 1B0, phone number 983-2425. Owen was born on...
-
Which U.S. federal agency sponsors the InfraGard program? Which agency has taken control of the overall National Infrastructure Protection mission?
-
Repeat the given exercise using the GaussSeidel method. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within...
-
Classify the following items as (1) Prepaid expense, (2) Unearned revenue, (3) Accrued revenue, or (4) Accrued expense. (a) Cash received for use of land next month (b) Fees earned but not received...
-
XYZ Corporation is authorized to issue 1,000,000 ordinary shares with a $5 par value. During 2023, its first year of operation, the company had the following share transactions: Jan 1. Issued 500,000...
-
Scenario-JG Sawmills To meet the high production demand, Jack Wilson-the owner of JG Sawmills-needs to invest in a frame saw. He has narrowed down to two choices: a double cut frame CZ84 saw with...
-
Peller owns 80% of Sando Company common stock. During the fourth quarter of 2009, Sando sold inventory to Peller for $200,000. At the end of December 2009, half this inventory remained in Peller's...
-
discuss the impact of inclusive talent management practices, such as diversity recruitment strategies, mentoring and sponsorship programs, and inclusive leadership development initiatives, on...
-
An S corporation can only have 1 class of stock, and all shareholders must have the same rights to distributions and liquidation proceeds. Therefore, Mr. and Mrs. B would not be able to issue...
-
Solve each equation. 2x + 3 = x + 2
-
Read Case Study Google: Dont Be Evil Unless and answer the following: Given its mission of providing information to the world, should Google censor searches in China?
-
Let {v1, . . . , vn} be a basis for a vector space V and let T: V V be a linear transformation. Prove that if T (v1) = V1, T (v2) = V2 . . . , T(vn) = vn, then T is the identity transformation on V.
-
Let T: Pn Pn be a linear transformation such that T(xk) = kxk-1 for k = 0, 1 , . . . , n. Show that T must be the differential operator D.
-
Let v1, . . . , vn be vectors in a vector space V and let T: V W be a linear transformation. (a) If {T(v1) , . . . , T(vn)} is linearly independent in W, show that {v1, . . . , vn} is linearly...
-
How do you define operational excellence? What factors are involved in achieving operational excellence? Who (within an organization) is responsible for operational excellence and why is this...
-
f(x) = x In(2x) Find f(x) for the function below....
-
Explain the importance of leadership to a team. Explain leadership practices you incorporated into your leadership style. Provide examples of how you incorporated those leadership practices within...
Study smarter with the SolutionInn App