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Solve the following system of four equations using Gauss-Seidel Method. Assume initial value of unknowns to be zero (0) with the ff % error of the variables: (x1 - 0.08%, x2 = 0.01%). Use 4 decimal places for the entire computation. 0%, x3 = -0.03%, x4 = 3x2 - x3 + 8x4 = 15 || | 10x1 – x2 + 2x3 = 6 X1 + 11x2 – x3 + 3x4 = 25 | 2x1 - x2 + 10x3 -X4 = -11

Solve the following system of four equations using Gauss-Seidel Method. Assume initial value of unknowns to be zero (0) with the ff % error of the variables: (x1 - 0.08%, x2 = 0.01%). Use 4 decimal places for the entire computation. 0%, x3 = -0.03%, x4 = 3x2 - x3 + 8x4 = 15 || | 10x1 – x2 + 2x3 = 6 X1 + 11x2 – x3 + 3x4 = 25 | 2x1 - x2 + 10x3 -X4 = -11

Advanced Engineering Mathematics
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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Solve the following system of four equations using Gauss-Seidel Method. Assume initial value of unknowns to be zero (0) with the ff % error of the variables: (x, = - 0.08%, x2 = 0%, x3 = 0.01%). Use 4 decimal places for the entire computation. -0.03%, x4 = - 3x2 - x3 + 8x4 = 15 10x1 - x2 + 2x3 = 6 %3D X1 + 11x2 – x3 + 3x4 = 25 %3D 2x1 - x2 + 10x3 – x4 = -11
Transcribed Image Text:Solve the following system of four equations using Gauss-Seidel Method. Assume initial value of unknowns to be zero (0) with the ff % error of the variables: (x, = - 0.08%, x2 = 0%, x3 = 0.01%). Use 4 decimal places for the entire computation. -0.03%, x4 = - 3x2 - x3 + 8x4 = 15 10x1 - x2 + 2x3 = 6 %3D X1 + 11x2 – x3 + 3x4 = 25 %3D 2x1 - x2 + 10x3 – x4 = -11
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