Solve the system of linear equations given below. —В — С + 4D %3D 1.8 4А — В — С — 0.5 -A + 4B – D = 1.3 — А + 4C — D%3D 1 - Instruction: Apply iterative methods [Gauss-Seidel Method and Jacobi Method] to solve this system of linear equations with a stopping criterion %exy,z <1 × 10-5%. Make sure to test the condition for diagonally dominant matrix. Use MS Excel to create the iteration table and use 2-digit number for your initial guess.

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
Problem 2BEXP
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Solve the system of linear equations given below.
-B – C + 4D = 1. 8
4А - В — С — 0.5
-A + 4B – D = 1.3
-A + 4C – D = 1
Instruction:
• Apply iterative methods [Gauss-Seidel Method and Jacobi Method] to solve this system of
linear equations with a stopping criterion %ex y,z < 1 × 10-5%.
Make sure to test the condition for diagonally dominant matrix.
Use MS Excel to create the iteration table and use 2-digit number for your initial guess.
Transcribed Image Text:Solve the system of linear equations given below. -B – C + 4D = 1. 8 4А - В — С — 0.5 -A + 4B – D = 1.3 -A + 4C – D = 1 Instruction: • Apply iterative methods [Gauss-Seidel Method and Jacobi Method] to solve this system of linear equations with a stopping criterion %ex y,z < 1 × 10-5%. Make sure to test the condition for diagonally dominant matrix. Use MS Excel to create the iteration table and use 2-digit number for your initial guess.
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