Given the system of equations4a + 2b + 11c + 3d = 106a + 3b + 2c + 15d = 2010a + b + 2c + 5d = 3012a + 17b + c + 3d = 40C +Find the fourth iteration value of a using the Gauss-Seidel method with an initial guess of (1, 0, 1, 0). Round off the finalanswer to eight decimal places.

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Answered: Given the system of equations 4a + 2b +…

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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1.9
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Given the system of equations 4a + 2b + 11c + 3d = 10 6a + 3b + 2c + 15d = 20 10a + b + 2c + 5d = 30 12a + 17b + c + 3d = 40 C + Find the fourth iteration value of a using the Gauss-Seidel method with an initial guess of (1, 0, 1, 0). Round off the final answer to eight decimal places.