1. Solve the following system of equations using the Gauss elimination method: 2x1 +x2 -x3 = 1 xj+ 2x2+ x3 = 8 -X1 +x- x3 =-5 2. Consider the following system of two linear equations: 0.0003x1 + 1.566x2 = 1.569 0.3454x1 -2.436x, = 1.018 (a)Solve the system with the Gauss elimination method using rounding with four significant figures. (b)Switch the order of the equations, and solve the system with the Gauss elimination method using rounding with four significant figures.

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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1. Solve the following system of equations using the Gauss elimination method:
2x, +x2 -x3 = 1
X+ 2x2+ x3 = 8
-X1 +x- x3 = -5
2. Consider the following system of two linear equations:
0.0003x, + 1.566x2 = 1.569
0.3454x -2.436x, = 1.018
%3D
(a)Solve the system with the Gauss elimination method using rounding with four
significant figures.
(b)Switch the order of the equations, and solve the system with the Gauss
elimination method using rounding with four significant figures.
Transcribed Image Text:1. Solve the following system of equations using the Gauss elimination method: 2x, +x2 -x3 = 1 X+ 2x2+ x3 = 8 -X1 +x- x3 = -5 2. Consider the following system of two linear equations: 0.0003x, + 1.566x2 = 1.569 0.3454x -2.436x, = 1.018 %3D (a)Solve the system with the Gauss elimination method using rounding with four significant figures. (b)Switch the order of the equations, and solve the system with the Gauss elimination method using rounding with four significant figures.
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