Solve the following system of equations using Gauss-Seidel method. 3x1 +6x2 +2x3 = 9 12% +...
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...
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,...
Using the Gauss-Seidel Method to solve the equations in the same order listed below with an initial guess of x1 = X2 = X3 = 1, what is the estimated value of x2 after 1 iteration? -8x1 + x2 - 2x3 = -20 2x1 - 6x2 - x3 = -38 -3x1 - x2 + 7x3 = -34 0 6.50 O 6.96 0 100 0 2.38
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...
In matlab, what is the code for the problem. (a) use the Gauss-Seidel method to solve the following system until the percent relative error falls below s a. 5%. 10x1 + 2x2-x,-27 3x1 -6x2 + 2x3 61.5 25x321.5 b. (b) write an M-file to implement the Gauss-Seidel method using the above system as a test case (a) use the Gauss-Seidel method to solve the following system until the percent relative error falls below s a. 5%. 10x1 + 2x2-x,-27 3x1...
helpp I'm this exam 2) Use the Gauss-Seidel method to solve the following system until the percentage relative error is below 0.5% -2x1 + 2x2 – X3 = 25 - 3x1 - 6x2 + 2x3 = -40.5 X1 + x2 + 5x3 = -25.5 a) Record the table-style values. (Iteration, X1, X2, X3, Error X1, Error X2, Error X3). х iteration error X1 x2 x3
Use the Gauss-Seidel Method to solve the set of equations given below. Arrange the equations so as to guarantee convergence. Start with X-X2 X3-1 and perform at least 3 iterations. 2x +6x2+16x3=47 14x +4x2+5x3=56 4x1+17x2+3x3=25
Question 11 In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, x2,...,x) = (0,0,...,0). 9. x– 2x2 = -1 2xy + x2 = 3 11. 2x, – 3x2 = -7 x1 + 3x2 – 10x3 = 9 3x + x3 = 13 10. - x + 4x, = 1 3xı – 2x2 = 2 12. x, + 3x, – x3 = 5 3x1 - x2 = 5 x2 + 2x3 =...
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
Solve the following equation by Gauss-Seidel Method up to 2 iterations and find the value of z. X1 + X2 + 25x3 10 6x1 + 15x2 + 2x3 -8 10x1 + 6x2 – X3 = 6 Give answer in 3-decimal plates.(Like 1.222) = r Answer: