The forces in four members of a framework are F1,F2 ,F, and F4. They are related by the simultaneous equations shown below. Find the values of F, ,F, ,F, and F4 using: a) Cramer's Rule (4x4 determinants can be computed directly) b) Gauss Elimination and c) Gauss Jordan Elimination F -3F, + 2F, - F = 4 -F, - 6F, + 4F, +F, = 8 F, + 4F,- F,-2F, = 12 %3D -6F, +2F, + F, +5F, = 2
The forces in four members of a framework are F1,F2 ,F, and F4. They are related by the simultaneous equations shown below. Find the values of F, ,F, ,F, and F4 using: a) Cramer's Rule (4x4 determinants can be computed directly) b) Gauss Elimination and c) Gauss Jordan Elimination F -3F, + 2F, - F = 4 -F, - 6F, + 4F, +F, = 8 F, + 4F,- F,-2F, = 12 %3D -6F, +2F, + F, +5F, = 2
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 3CEXP
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