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Use the Gauss-Seidel method to solve the following system of equations. 10x₁ + 2x₂x3 = 27 -3x1 - 6x2 + 2x3 = -61.5 x₁ + x₂ + 5x3 = -21.5 Compute the approximate relative percent error for each component after each iteration. Continue the method until the maximum approximate relative percent error of each component falls below €s = 5%.

Use the Gauss-Seidel method to solve the following system of equations. 10x₁ + 2x₂x3 = 27 -3x1 - 6x2 + 2x3 = -61.5 x₁ + x₂ + 5x3 = -21.5 Compute the approximate relative percent error for each component after each iteration. Continue the method until the maximum approximate relative percent error of each component falls below €s = 5%.

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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Use the Gauss-Seidel method to solve the following system of equations. 10x₁ + 2x₂x3 = 27 −3x₁ − 6x₂ + 2x3 =-61.5 x₁ + x₂ + 5x3 = -21.5 Compute the approximate relative percent error for each component after each iteration. Continue the method until the maximum approximate relative percent error of each component falls below Es = 5%.
Transcribed Image Text:Use the Gauss-Seidel method to solve the following system of equations. 10x₁ + 2x₂x3 = 27 −3x₁ − 6x₂ + 2x3 =-61.5 x₁ + x₂ + 5x3 = -21.5 Compute the approximate relative percent error for each component after each iteration. Continue the method until the maximum approximate relative percent error of each component falls below Es = 5%.
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