2. Using the given in Example 1, solve using Gauss-Seidel Method.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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Hello, please answer item number 2. Thank you

1. Solve the following system
2x1 – 6x2 – T3 = -38
-3x1 – 22 + 7x3 = 34
-8x1 + x2 – 2x3 = 20
using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as
æ1 = -2, x2 = 4, æ3 = 3
Round-off intermediate values to 6 decimal places and the answer to 4 decimal places.
How many iterations were made to solve the system?
2. Using the given in Example 1, solve using Gauss-Seidel Method.
Transcribed Image Text:1. Solve the following system 2x1 – 6x2 – T3 = -38 -3x1 – 22 + 7x3 = 34 -8x1 + x2 – 2x3 = 20 using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as æ1 = -2, x2 = 4, æ3 = 3 Round-off intermediate values to 6 decimal places and the answer to 4 decimal places. How many iterations were made to solve the system? 2. Using the given in Example 1, solve using Gauss-Seidel Method.
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