The forces in four members of a framework are F1 ,F2 ,F3 and F4. They are related by the simultaneous equations shown below. Find the values of F1 ,F2 ,F, and F4 using: a) Cramer's Rule (4x4 determinants can be computed directly) b) Gauss Elimination and c) Gauss Jordan Elimination F, – 3F2 + 2F3 + 4F, = -3 -3F, – 3F, + F3 + 2F4 = 2 -F1 + 2F2 + 4F3 – 2F, = 5 2F, + F2 + 4F3 + 3F, = -2

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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FIND THE FOLLOWING USING GAUSS JORDAN ELIMINATION ONLY

The forces in four members of a
framework
are
F, „F2 ,F, and F,. They are related by the simultaneous
equations shown below. Find the values of F1 „F2 ,F3 and F4
using:
a) Cramer's Rule (4x4 determinants can be computed
directly)
b) Gauss Elimination and
c) Gauss Jordan Elimination
F1 – 3F2 + 2F3 + 4F, = -3
-3F, — ЗF, + Fз+2F, 3D 2
-F, + 2F2 + 4F3 – 2F, = 5
2F, + F, + 4F3 + 3F, = -2
Transcribed Image Text:The forces in four members of a framework are F, „F2 ,F, and F,. They are related by the simultaneous equations shown below. Find the values of F1 „F2 ,F3 and F4 using: a) Cramer's Rule (4x4 determinants can be computed directly) b) Gauss Elimination and c) Gauss Jordan Elimination F1 – 3F2 + 2F3 + 4F, = -3 -3F, — ЗF, + Fз+2F, 3D 2 -F, + 2F2 + 4F3 – 2F, = 5 2F, + F, + 4F3 + 3F, = -2
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