Homework Answers
![The coe cient matrix agonal Co, o, o 구 and appsomo Ja:えし3t-alas) + (-4.tsz]ะ 7.37С,](http://img.homeworklib.com/images/09183b2e-a390-4c80-9382-6c62c9300d59.png?x-oss-process=image/resize,w_560)
![,, もし34 + 3(4,a, จ 2) 18.us4].. ,. Rcra -, The ela ive cu Now Usir, Gauts-se,dal Method 구. 761g 이 ? a nd](http://img.homeworklib.com/images/bda1b739-31cd-4fde-bf55-05f0ec48b4d2.png?x-oss-process=image/resize,w_560)
Add Answer to:
plz show all steps 3. Consider the linear system of equations 21-62-33-38 22T3 initial guess r0,0,apply, by hand, the J...
Homework4 Solve the following problems in form of report using Microsoft word format. Three students per...
Homework4 Solve the following problems in form of report using Microsoft word format. Three students per report. The names and student no. are to be declared. Due date Mo. 26.03.2020 12:00 PM Solve the following system of linear equations: [ 0.8 -0.4 011 (41 -0.4 0.8 -0.41*2} = 25 0 -0.4 0.8 |(x3) (105) (1) Using the Gauss-Seidel iterative method until the percent relative error falls below Ea < 5% (2) With Gauss-Seidel using overrelaxation (1 = 1.2)until En 5%...
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination metho...
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination method x,+x: + x) = 1 +2x, +4x1 x 19. Solve the linear system of equations using the Gauss elimination method with partial pivoting 12x1 +10x2-7x3=15 6x, + 5x2 + 3x3 =14 24x,-x2 + 5x, = 28 20. Find the LU decomposition for the following system of linear equations 6x, +2x, +2, 2 21. Find an approximate solution for the following linear system of equations...
Consider the linear system 5x1 - 21 + X1 - 22 + x3 = 1 5.22...
Consider the linear system 5x1 - 21 + X1 - 22 + x3 = 1 5.22 - 23 = 2 22 5 5x3 = 3 (a) Discuss the convergence of the iterative solutions of this system generated by the Jacobi and Gauss-Seidel methods, by considering their iterative matrices. (b) If both methods converge, which one of them converges faster to the exact solution of this system? (c) Starting with the initial approximation x(0) = [0,0,0], find the number of iterations...
Chapter 04.08:Problem #1 Solve the following system of equations using the Gauss-Seidel method. 1 12х, + 7х, + 3x, %317...
Chapter 04.08:Problem #1 Solve the following system of equations using the Gauss-Seidel method. 1 12х, + 7х, + 3x, %317 Зх, + 6х, + 2х, %3D9 2x, + 7x, -11х, %3D 49 Conduct 3 iterations. Calculate the maximum absolute relative approximate error at x x[ 3 s] as your initial guess the end of each iteration. Choose
Chapter 04.08:Problem #1 Solve the following system of equations using the Gauss-Seidel method. 1 12х, + 7х, + 3x, %317 Зх, + 6х,...
Chapter 04.08:Problem #1 1. Solve the following system of equations using the Gauss-Seidel method. 12x, + 7х, + 3x, %3D...
Chapter 04.08:Problem #1 1. Solve the following system of equations using the Gauss-Seidel method. 12x, + 7х, + 3x, %3D17 Зх, + 6х, +2х, 3D9 2x1+7x2-11x,49 = Conduct 3 iterations. Calculate the maximum absolute relative approximate error at the end of each iteration. Choose [x, x,J= [1 3 5 as your initial guess. x,
Chapter 04.08:Problem #1 1. Solve the following system of equations using the Gauss-Seidel method. 12x, + 7х, + 3x, %3D17 Зх, + 6х, +2х, 3D9 2x1+7x2-11x,49...
just 1,2,4 Problem 1 Consider the linear system of equations Ax = b, where x €...
just 1,2,4
Problem 1 Consider the linear system of equations Ax = b, where x € R4X1, and A= 120 b = and h= 0.1. [2+d -1 0 0 1 1 -1 2+d -1 0 h2 0 -1 2 + 1 Lo 0 -1 2+d] 1. Is the above matrix diagonally dominant? Why 2. Use hand calculations to solve the linear system Ax = b with d=1 with the following methods: (a) Gaussian elimination. (b) LU decomposition. Use MATLAB (L,...
Solve the following system of equations using Gauss-Seidel method. 3x1 +6x2 +2x3 = 9 12% +...
Solve the following system of equations using Gauss-Seidel method. 3x1 +6x2 +2x3 = 9 12% + 7x2 +3x,-17 2x, +7x2 -11x, 49 Conduct 3 iterations. Calculate the maximum absolute relative approximate error at the end of each iteration, and Choose [x, ]-l 3 5las your initial guess.
1. [12 marks] In the following parts of this question, write a MATLAB code to solve a linear syst...
1. [12 marks] In the following parts of this question, write a MATLAB code to solve a linear system A b (A is a square nonsingular matrix) using Jacobi and Gauss-Seidel algorithms. Do not use the built-in Matlab functions for solving linear systems (a) Write a Matlab function called Jacobi that consumes a square n x n matrix A, and an n x 1 vector b, and uses the Jacobi technique to solve the system Ax-b, starting with the zero...
Question 1 (10 marks) For a linear system Ax b with 1 0-1 A-1 2-1 2-13 and b4 18 compute by hand ...
Question 1 (10 marks) For a linear system Ax b with 1 0-1 A-1 2-1 2-13 and b4 18 compute by hand the first four iterations with the Jacobi method, usg0 Hint: for the ease of calculation, keep to rational fractions rather than decimals. (10 marks) Question 2 For the same linear svstem as in Question 1. compute by hand the first three iterations with the Gauss Seidel method, us0 Hint: for the ease of calculation, keep to rational fractions...
{ 6.6 (3). Consider the linear system 2 +4.02 = 0 4.0 +02 = 0 The...
{ 6.6 (3). Consider the linear system 2 +4.02 = 0 4.0 +02 = 0 The true solution is 11 = -1/15, 12 = 4/15. Apply the Jacobi and Gauss-Seidel methods with (0) = [0,0to the system and find out which methods diverge more rapidly. Next, interchange the two equations to write the system as 4.0 +x2 = 0 2 +4.62 = 0 and apply both methods with 7(0) = [0,0]?. Iterate until ||2 – 2(k)|| < 10-5. Which method...
Homework4 Solve the following problems in form of report using Microsoft word format. Three students per report. The names and student no. are to be declared. Due date Mo. 26.03.2020 12:00 PM Solve the following system of linear equations: [ 0.8 -0.4 011 (41 -0.4 0.8 -0.41*2} = 25 0 -0.4 0.8 |(x3) (105) (1) Using the Gauss-Seidel iterative method until the percent relative error falls below Ea < 5% (2) With Gauss-Seidel using overrelaxation (1 = 1.2)until En 5%...
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination method x,+x: + x) = 1 +2x, +4x1 x 19. Solve the linear system of equations using the Gauss elimination method with partial pivoting 12x1 +10x2-7x3=15 6x, + 5x2 + 3x3 =14 24x,-x2 + 5x, = 28 20. Find the LU decomposition for the following system of linear equations 6x, +2x, +2, 2 21. Find an approximate solution for the following linear system of equations...
Consider the linear system 5x1 - 21 + X1 - 22 + x3 = 1 5.22 - 23 = 2 22 5 5x3 = 3 (a) Discuss the convergence of the iterative solutions of this system generated by the Jacobi and Gauss-Seidel methods, by considering their iterative matrices. (b) If both methods converge, which one of them converges faster to the exact solution of this system? (c) Starting with the initial approximation x(0) = [0,0,0], find the number of iterations...
Chapter 04.08:Problem #1 Solve the following system of equations using the Gauss-Seidel method. 1 12х, + 7х, + 3x, %317 Зх, + 6х, + 2х, %3D9 2x, + 7x, -11х, %3D 49 Conduct 3 iterations. Calculate the maximum absolute relative approximate error at x x[ 3 s] as your initial guess the end of each iteration. Choose
Chapter 04.08:Problem #1 Solve the following system of equations using the Gauss-Seidel method. 1 12х, + 7х, + 3x, %317 Зх, + 6х,...
Chapter 04.08:Problem #1 1. Solve the following system of equations using the Gauss-Seidel method. 12x, + 7х, + 3x, %3D17 Зх, + 6х, +2х, 3D9 2x1+7x2-11x,49 = Conduct 3 iterations. Calculate the maximum absolute relative approximate error at the end of each iteration. Choose [x, x,J= [1 3 5 as your initial guess. x,
Chapter 04.08:Problem #1 1. Solve the following system of equations using the Gauss-Seidel method. 12x, + 7х, + 3x, %3D17 Зх, + 6х, +2х, 3D9 2x1+7x2-11x,49...
just 1,2,4
Problem 1 Consider the linear system of equations Ax = b, where x € R4X1, and A= 120 b = and h= 0.1. [2+d -1 0 0 1 1 -1 2+d -1 0 h2 0 -1 2 + 1 Lo 0 -1 2+d] 1. Is the above matrix diagonally dominant? Why 2. Use hand calculations to solve the linear system Ax = b with d=1 with the following methods: (a) Gaussian elimination. (b) LU decomposition. Use MATLAB (L,...
Solve the following system of equations using Gauss-Seidel method. 3x1 +6x2 +2x3 = 9 12% + 7x2 +3x,-17 2x, +7x2 -11x, 49 Conduct 3 iterations. Calculate the maximum absolute relative approximate error at the end of each iteration, and Choose [x, ]-l 3 5las your initial guess.
1. [12 marks] In the following parts of this question, write a MATLAB code to solve a linear system A b (A is a square nonsingular matrix) using Jacobi and Gauss-Seidel algorithms. Do not use the built-in Matlab functions for solving linear systems (a) Write a Matlab function called Jacobi that consumes a square n x n matrix A, and an n x 1 vector b, and uses the Jacobi technique to solve the system Ax-b, starting with the zero...
Question 1 (10 marks) For a linear system Ax b with 1 0-1 A-1 2-1 2-13 and b4 18 compute by hand the first four iterations with the Jacobi method, usg0 Hint: for the ease of calculation, keep to rational fractions rather than decimals. (10 marks) Question 2 For the same linear svstem as in Question 1. compute by hand the first three iterations with the Gauss Seidel method, us0 Hint: for the ease of calculation, keep to rational fractions...
{ 6.6 (3). Consider the linear system 2 +4.02 = 0 4.0 +02 = 0 The true solution is 11 = -1/15, 12 = 4/15. Apply the Jacobi and Gauss-Seidel methods with (0) = [0,0to the system and find out which methods diverge more rapidly. Next, interchange the two equations to write the system as 4.0 +x2 = 0 2 +4.62 = 0 and apply both methods with 7(0) = [0,0]?. Iterate until ||2 – 2(k)|| < 10-5. Which method...
Most questions answered within 3 hours.
-
) Raw materials are studied for contamination. Suppose that
the number of particles of contamination per...
asked 7 minutes ago -
After running a regression analysis we calculated an F test and
the significance level was 0.15....
asked 3 minutes ago -
----Can someone please help me solve this one using JAVA
----I thank you in advance
Create...
asked 8 minutes ago -
1. What force primarily attracts the potassium ion to
the nitrate ion?
a. London forces...
asked 9 minutes ago -
What are the negative effects of abruptly stopping the use of
all fossil fuels? Give at...
asked 16 minutes ago -
Given that many conflict are the result of different parties having
different interests, is it possible...
asked 21 minutes ago -
A 750 g block can slide uniformly along the horizontal track
when a string attached to...
asked 24 minutes ago -
In 2017, Juan entered into a contract to write a book. The
publisher advanced Juan $50,000,...
asked 38 minutes ago -
Determine the number of kinds of protons in each molecule (w/
respect to NMR spectroscopy). Drawing...
asked 48 minutes ago -
A jeweler whose near point is 68 cm from his eye uses a
magnifying glass as...
asked 46 minutes ago -
A company wants to determine how many units of each of two
products, A and B,...
asked 50 minutes ago -
The blood pressure of a person changes throughout the day.
Suppose the systolic blood pressure of...
asked 59 minutes ago