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Problem 2 (50 points): Estimate x1 and x2 from the following system of equations using 4 iteratio...
matlab 1. Given the system of equations 9 + x2 +x3 +x4 = 75 xi +8x2 x3x54 X1+X1 +7X3 + X4 = 43 xi+x2 +x6x434 Write a...
matlab
1. Given the system of equations 9 + x2 +x3 +x4 = 75 xi +8x2 x3x54 X1+X1 +7X3 + X4 = 43 xi+x2 +x6x434 Write a code to find the solution of linear equations using a) Gauss elimination method b) Gauss-Seidel iterative method c) Jacobi's iterative method d) Compare the number of iterations required for b) and c) to the exact solution Assume an initial guess of the solution as (X1, X2, X3, X4) = (0,0,0,0).
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...
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...
Test II. ITERATIVE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS Solve the following linear system using Gauss-Seidel...
Test II. ITERATIVE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS Solve the following linear system using Gauss-Seidel iterative method. Use x = x; = x; =0 as initial guesses. Perform two iterations of the method to find xị, xį and xſ and fill the following table. Show all the calculation steps. 10x, + 2x2 - X3 = 27 -3x, - 6x2 + 2xz = -61.5 X1 + x2 + 5x3 = -21.5
[4] Problem 4. Consider the following system [28' 12 3 x] after one iteration of Gauss-Seidel...
[4] Problem 4. Consider the following system [28' 12 3 x] after one iteration of Gauss-Seidel method using [x 13 Find the values of [x1 x]T-[0 0 0]" as the initial guess. X2 X2
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.
Please answer this MATLAB questions when able. Thanks. 4. Laboratory Problem Description In this laboratory you...
Please answer this MATLAB questions when able. Thanks.
4. Laboratory Problem Description In this laboratory you are required to Find the solution of the following systems of linear equation: 1) xl + x2 + x3 3 4x1 - x2 x3-2 x1 2x2 x3-2 2) 2 -1 3 A 1 3 -2. B-2 Given the following system 4x1+3x2+7x3- 3 3x1+2x2+1x3 1 2x1+3x2+4x3- 2 Using MATLAB commands solve the following system using Gaussian elimination with partial pivoting. Find P, L, and U...
Q1 The linear system Ax = b is given by: x1−x2 + 4x3 = 7 4x1...
Q1 The linear system Ax = b is given by: x1−x2 + 4x3 = 7 4x1 + 2x2 –x3= 18, x1 + 3x2+ x3 = 16, has the solution x=(3, 4,2)T. Using the initial guess x (0)=(1, 1,1)T Solve the above system as is using: Gauss-Seidel method. If the error increases, what does that mean and what should you do? (see b below) Condition the system so that convergence is secured and solve using the Gauss-Siedel method. Q2: Find a system...
Consider the linear system x1 +4x2 = 0 4x1 +x2 = 0 The true solution is...
Consider the linear system x1 +4x2 = 0 4x1 +x2 = 0 The true
solution is x1 = ?1=15, x2 = 4=15. Apply the Jacobi and
Gauss-Seidel methods with x(0) = [0; 0]T to the system and nd out
which methods diverge more rapidly. Next, interchange the two
equations to write the system as 8< : 4x1 +x2 = 0 x1 +4x2 = 0
and apply both methods with x(0) = [0; 0]T . Iterate until
jjx?x(k)jj 10?5. Which method...
matlab
1. Given the system of equations 9 + x2 +x3 +x4 = 75 xi +8x2 x3x54 X1+X1 +7X3 + X4 = 43 xi+x2 +x6x434 Write a code to find the solution of linear equations using a) Gauss elimination method b) Gauss-Seidel iterative method c) Jacobi's iterative method d) Compare the number of iterations required for b) and c) to the exact solution Assume an initial guess of the solution as (X1, X2, X3, X4) = (0,0,0,0).
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...
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...
Test II. ITERATIVE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS Solve the following linear system using Gauss-Seidel iterative method. Use x = x; = x; =0 as initial guesses. Perform two iterations of the method to find xị, xį and xſ and fill the following table. Show all the calculation steps. 10x, + 2x2 - X3 = 27 -3x, - 6x2 + 2xz = -61.5 X1 + x2 + 5x3 = -21.5
[4] Problem 4. Consider the following system [28' 12 3 x] after one iteration of Gauss-Seidel method using [x 13 Find the values of [x1 x]T-[0 0 0]" as the initial guess. X2 X2
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.
Please answer this MATLAB questions when able. Thanks.
4. Laboratory Problem Description In this laboratory you are required to Find the solution of the following systems of linear equation: 1) xl + x2 + x3 3 4x1 - x2 x3-2 x1 2x2 x3-2 2) 2 -1 3 A 1 3 -2. B-2 Given the following system 4x1+3x2+7x3- 3 3x1+2x2+1x3 1 2x1+3x2+4x3- 2 Using MATLAB commands solve the following system using Gaussian elimination with partial pivoting. Find P, L, and U...
Consider the linear system x1 +4x2 = 0 4x1 +x2 = 0 The true
solution is x1 = ?1=15, x2 = 4=15. Apply the Jacobi and
Gauss-Seidel methods with x(0) = [0; 0]T to the system and nd out
which methods diverge more rapidly. Next, interchange the two
equations to write the system as 8< : 4x1 +x2 = 0 x1 +4x2 = 0
and apply both methods with x(0) = [0; 0]T . Iterate until
jjx?x(k)jj 10?5. Which method...
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