1. Solve the following system 2x₁6x₂x3 = -38 -3x₁ - x₂ + 7x3 = 34 -8x₁ + x₂ - 2x3 = 20 using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as x₁ = -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?
1. Solve the following system 2x₁6x₂x3 = -38 -3x₁ - x₂ + 7x3 = 34 -8x₁ + x₂ - 2x3 = 20 using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as x₁ = -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?
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 3BEXP
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