Q6(a)Use Gauss-Seidel Method to obtain the solution of the following system:0.4x, - (2 + 0)x, + 1.5x, = 4.56(3 + 0)x, + 0.2x, –1.9x, = 1.732.5х, — 1.бх, + (3 + 0)x, — 8.45Stop the iteration until max {]xk+1 – x4|} < 0.003.-

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Answered: Q6 (a) Use Gauss-Seidel Method to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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4. Use the SOR method with w = 1.2 to solve the linear systems 4x1 + x2 + X3+ Xs = 6, -x – 3x2 + x3 + x4 = 6, 2x, + x2 + 5xz – X4 - x5 = 6, -XI - x2 - X3 + 4x4 = 6, 2x2 - x3 + xX4 +4x3 = 6. with a tolerance TOL = 10-3 in the loo norm.
10.4 Solve the following system of equations using LU decompo- sition with partial pivoting: 2x, - 6x2 – x3 = -38 -3x - x2 + 7x3 = -34 -8x, + x2 - 2x3 = -20
Q6 (a) Use Gauss-Seidel Method to obtain the solution of the following system: 0.4х, — (2 + 1)х, + 1.5х, — 4.56 - (3 + 1)x, + 0.2x, -1.9x, = 1.73 2.5x, –1.6x, + (3+ Iſx,= 8.45 - Stop the iteration until max {]xk+1 – x} < 0.003.
Could You please solve this problem
Given the linear system 2х, — бх, — х, — -38 -3x, – x, +7x, =-34 -8x, +x, – 2x, =-20 determine the values of X1 , X2 and X3 using 1. Jacobi Iterative Method; 2. Gauss-Seidel Iterative Method. Note: Do iterations until the approximate error is less than 5%.
Find the solution to following system of equations by Gauss-Seidel Method, accurate to five (5) decimal digits. Start with x1 = x2 = x3 = x4 = x5 = x6 = 0. Show transformed equations.
Up to 10 iterations, use 1 or (1,1) in the absence of an assumption. Please show how each iteration was solved.
[1 2 0] Find the inverse of A=0 5 8 by using Gauss-Jordan elimination. [2 0 1] 5. a) b) Use A" to solve the system: x, +2x, =-1 5x, +8x, = 7 2.x, + x, = 3
If æ(0) 3x1 – x2 = 7 -21 + 4x2 = 8 0, then æ(1) in the Gauss-Seidel iteration of the following system is a. O b. 59/12 7 39/4 d. 7/3 [ 31/12 е. Of. 3. g. Oh. 7 15/4. O i. 0 O j. 13/3
5.2) Solve the given system of equations using Gauss-Jordan Reduction method

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Q6 (a) Use Gauss-Seidel Method to obtain the solution of the following system: 0.4x, - (2 + 0)x, + 1.5x, = 4.56 (3 + 0)x, + 0.2x, –1.9x, = 1.73 2.5х, — 1.бх, + (3 + 0)x, — 8.45 Stop the iteration until max {]xk+1 – x4|} < 0.003. -