Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5x5 = 5 2x – 3x2 + 4x3 - 5x + x5 = 10 %3D %3D X1 + x2 - x3 – x4 + x5 = 8 5x1 – 4x2 - 3r3 + 2x4 + x5 = 9 3x1 + 4.x2 - 3r3 – 4x4 + 6x5 = 7 using (d) Jakobi method with 10 iterations. (e) Gauss-Seidel method with 10 iterations.

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
Section9.3: Solving Problems With Two Variables
Problem 21P
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1. Solve the following system of linear equations
xi + 2x2 + 3x3 + 4x4 + 5x5 = 5
2x1 – 3x2 + 4x3 – 5x + x5 = 10
xi + x2 – x3 – x4 + x5 = 8
5x1 – 4.x2 – 3x3 + 2x4 + x5 = 9
З71 + 42 — Зх3 — 4х4 + 6х5 — 7
using
(d) Jakobi method with 10 iterations.
(e) Gauss-Seidel method with 10 iterations.
Transcribed Image Text:1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5x5 = 5 2x1 – 3x2 + 4x3 – 5x + x5 = 10 xi + x2 – x3 – x4 + x5 = 8 5x1 – 4.x2 – 3x3 + 2x4 + x5 = 9 З71 + 42 — Зх3 — 4х4 + 6х5 — 7 using (d) Jakobi method with 10 iterations. (e) Gauss-Seidel method with 10 iterations.
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