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Gaussian Elimination - Numerical Analysis - Solved Exam

Exams, Numerical Analysis

Post: April 16th, 2013
Description
Main Points are:Gaussian Elimination, Set of Equations, Simultaneous Linear Equations, Back Substitution, Velocity Data, Naïve Gauss Elimination Method, Solution Vector, Matrix Multiplication, Values of Velocity
Main Points are:Gaussian Elimination, Set of Equations, Simultaneous Linear Equations, Back Substitution, Velocity Data, Naïve Gauss Elimination Method, Solution Vector, Matrix Multiplication, Values of Velocity
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Contents
Chapter 04.06 Gaussian Elimination After reading this chapter, you should be able to: 1. solve a set of simultaneous linear equations using Naïve Gauss elimination, 2. learn the pitfalls of the Naïve Gauss elimination method, 3. understand the effect of round-off error when solving a set of linear equations with the Naïve Gauss elimination method, 4. learn how to modify the Naïve Gauss elimination method to the Gaussian elimination with partial pivoting method to avoid pitfalls of the former method, 5. find the determinant of a square matrix using Gaussian elimination, and 6. understand the relationship between the determinant of a coefficient matrix and the solution of simultaneous linear equations. How is a set of equations solved numerically? One of the most popular techniques for solving simultaneous linear equations is the Gaussian elimination method. The approach is designed to solve a general set of n equations and n unknowns a11 x1 + a12 x2 + a13 x3 + ... + a1n xn = b1 a21..

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