Given the system of equations3x + 9y + 4z = 105x + 4y + 11z = 2010x + 3y + 5z = 30Find the fourth iteration value of y using the Gauss-Seidel method with an initial guess of (1, 1, 1). Round off the final answer tofive decimal places but do not round off on previous calculations.

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Answered: Given the system of equations 3x + 9y +…

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 3x + 9y + 4z = 10 5x + 4y + 11z = 20 10x + 3y + 5z = 30 Find the fourth iteration value of y 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.