x, + x, - x, + 6x, + x, = -6.4 4x, - x, + x, + Xg = 6.65 x, - x, + x, + 2x, + 7x. - 5x, + x, + x, - x, + X, = -23.15 2х, + х, + 8х, — х, + х, %3D -16.8 X, + 2x, + 8x, + 2x, + X, = 15.95

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 32E
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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.

х, + х, — х, + 6х, +
х, %3D -6.4
4х, — х, + х, + х, %3D 6.65
х, — х, + х, + 2х, + 7x,
= -23.15
|
- 5х, + х, + х, — х, + х, %3D -4.75
2х, + X, + 8х, — х, + х, %3D -16.8
х, + 2х, + 8х, + 2х, + х, 3D 15.95
Transcribed Image Text:х, + х, — х, + 6х, + х, %3D -6.4 4х, — х, + х, + х, %3D 6.65 х, — х, + х, + 2х, + 7x, = -23.15 | - 5х, + х, + х, — х, + х, %3D -4.75 2х, + X, + 8х, — х, + х, %3D -16.8 х, + 2х, + 8х, + 2х, + х, 3D 15.95
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