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Given the system of equations 4a 2b + 11c + 3d = 20 6a + 3b - 2c + 15d = 25 10a + b 2c + 5d = 30 12a + 17b + c + 3d = 40 Find the 3rd iteration value of a using Gauss-Seidel method with an initial guess of (2, 1, 0, 1). Round off the final answer to five decimal places.

Given the system of equations 4a 2b + 11c + 3d = 20 6a + 3b - 2c + 15d = 25 10a + b 2c + 5d = 30 12a + 17b + c + 3d = 40 Find the 3rd iteration value of a using Gauss-Seidel method with an initial guess of (2, 1, 0, 1). Round off the final answer to five decimal places.

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 4a 2b + 11c + 3d = 20 6a + 3b - 2c + 15d = 25 10a + b 2c + 5d = 30 12a + 17b + c + 3d = 40 Find the 3rd iteration value of a using Gauss-Seidel method with an initial guess of (2, 1, 0, 1). Round off the final answer to five decimal places.
Transcribed Image Text:Given the system of equations 4a 2b + 11c + 3d = 20 6a + 3b - 2c + 15d = 25 10a + b 2c + 5d = 30 12a + 17b + c + 3d = 40 Find the 3rd iteration value of a using Gauss-Seidel method with an initial guess of (2, 1, 0, 1). Round off the final answer to five decimal places.
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