Q2: Use the Gauss-Seidel method to obtain the solution of the system(Two Iteration)3x1 0.1x - 0.2x3 = 7.850. 1x1 + 7x2 - 0.3x3 = -19.30. 3x, - 0.2x2 + 10x, 71.4

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Answered: Q2: Use the 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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PLEASE USE A = 8 PLEASE ANSWER SOON
Use 3 iterations Use Gauss-Seidel iteration to find the root x3) = (x,(3) X3) of the following system of equations with initial guess X = (0,0,0) 5x,-X2+2x3= 12 3x1+8x2-2x3 = - 25 X1+x2+4X3=6
Use the Gauss-Seidel method to solve the following system until the percent relative error falls below &, = 5%. -3x1 + x2 + 12x3 = 50 6x1-x2-x3 = 3 6x1 + 9x2 + x3 = 40
Solve the following system of equations using the Gaussian method by pivoting and then use the inverse cascade method to obtain the values of x1, x2, x3 and x4 NoteTo start with the Gaussian method with Pivoting Go into the form A x = b
Find the solution of the given system by using Cholesky's method. x₁ + x₂ + 2x3 = 2, x₁ + 5x₂ + 6x3 = 3, 2x₁ + 6x₂ + 9x3 = 4.
Use partial pivoting with Gaussian elimination to find the solution to the given system. -2x1 + 3x₂ = 4 7x12x₂ = 3 (X1, X2): eBook
Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - 0.1x2 - 0.2x3 7.85 %3D 0. 1x1 + 7x2 - 0.3x3 = -19.3 0. Зх, - 0.2х2 + 10х3 3D 71.4 0. 2x2 + 10x, = 71.4
Q2 (0 points) Find all basic solutions to the following homogeneous system. 2x +3y +52 +2w 3y +2 -6y +2x +4w +3y +7% +3w 4x 3x = 0 = 0 = 0 = 0
Use the Gauss-Seidel method to approximate the solution of the following system of linear equations. 5x1 – 2x2 + 3x3 = -1 -3x1 + 9x2 + X3 = 2 2x1 – x2 – 7x3 = 3 %3D
Solve the system of linear equations by iteration method (4 iteration). x - 4 y +7 z = 10 5x - 4 y + z = 0 - 4x + 6 y - 4 z = 5 1. X= * X= 1/5(3y-2z) X= 1/5(3y-z) X= 1/5(4y-z) 2. y= * y= 1/6(5+4x-4z) y= 1/6(3y-z) y= 1/5(4y-z) 3. Z= * O z= 1/7(10-x-4y) Z= 1/6(3y-x) Z= 1/5(4y-4x) 4. When first iteration * O X= 0, Y=0.833, Z=1.905 X= 0, Y=1.833, Z=1.905 X= 0, Y=0.833 ,Z=3.905 5. When third iteration * X= 1.295 , Y=0.833, Z=3.241 X= 0, Y=1.833 ,Z=1.905 X= 1.295 , Y=3.495, Z=3.241 O O O O O O O O O

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Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x, 0.1x - 0.2x3 7.85 %3D 0. 1x1 + 7x2 - 0.3x3 -19.3 0. 3x 0.2x, + 10x3 71.4 %3D