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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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please solve questions 2 and 3 

please don't use computer for question 2

Question 1:
Solve the following system of equations by LU decomposition.
4x1 + 3x2 + 14x3 = 15
-4x1 + 5x2 + 3x3 = -6
16x1 - 4x2 + 4x3 = 24
Question 2:
Solve the system of equations given in question-1 by Gauss-Seidel method using the initial guesses
x,(0) = x2(0) = x30) = 0 and an error less than 0.01%.
Question 3:
Write computer codes using any programming language for one of the following methods to solve a
linear equation system.
1- Gaussian elimination.
2- LU decomposition.
3- Gauss-Seidel iterations.
Execute the program for the linear equation system given in question-1.
Transcribed Image Text:Question 1: Solve the following system of equations by LU decomposition. 4x1 + 3x2 + 14x3 = 15 -4x1 + 5x2 + 3x3 = -6 16x1 - 4x2 + 4x3 = 24 Question 2: Solve the system of equations given in question-1 by Gauss-Seidel method using the initial guesses x,(0) = x2(0) = x30) = 0 and an error less than 0.01%. Question 3: Write computer codes using any programming language for one of the following methods to solve a linear equation system. 1- Gaussian elimination. 2- LU decomposition. 3- Gauss-Seidel iterations. Execute the program for the linear equation system given in question-1.
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