3- Carry out the first three iterations of the solution of the following system of equations using Jacobi and the Gauss-Seidel iterative methods. For the first guess of the solution, take the value of all the unknowns to be zero. 8x1 + 2x2 + 3x3 = 51 2x1 + 5x2 + x3 = 23 -3x1 + x2 + 6x3 = 20

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 32P
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3- Carry out the first three iterations of the solution of the following system of equations
using Jacobi and the Gauss-Seidel iterative methods. For the first guess of the solution,
take the value of all the unknowns to be zero.
8х1 + 2х2 + 3хз — 51
2x1 + 5x2 + x3
= 23
—Зх1 + х2 + бх; —D 20
%3D
Transcribed Image Text:3- Carry out the first three iterations of the solution of the following system of equations using Jacobi and the Gauss-Seidel iterative methods. For the first guess of the solution, take the value of all the unknowns to be zero. 8х1 + 2х2 + 3хз — 51 2x1 + 5x2 + x3 = 23 —Зх1 + х2 + бх; —D 20 %3D
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