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Given the system of equations 3x + 8y + 4z = 10 5x + 4y + 10z = 15 9x + 3y + 5z = 20 Find the fourth iteration value of x using the Gauss- Seidel method with an initial guess of (1, 1, 1). Round off the final answer to five decimal places but do not round off on previous calculations.

Given the system of equations 3x + 8y + 4z = 10 5x + 4y + 10z = 15 9x + 3y + 5z = 20 Find the fourth iteration value of x using the Gauss- Seidel method with an initial guess of (1, 1, 1). Round off the final answer to five decimal places but do not round off on previous calculations.

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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Given the system of equations Зx + 8y + 4z 3 10 5x + 4y + 10z = 15 9х + Зу + 5z %3D 20 Find the fourth iteration value of x using the Gauss- Seidel method with an initial guess of (1, 1, 1). Round off the final answer to five decimal places but do not round off on previous calculations.
Transcribed Image Text:Given the system of equations Зx + 8y + 4z 3 10 5x + 4y + 10z = 15 9х + Зу + 5z %3D 20 Find the fourth iteration value of x using the Gauss- Seidel method with an initial guess of (1, 1, 1). Round off the final answer to five decimal places but do not round off on previous calculations.
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