Forces F₁, F₂ and F3 on a body in equilibrium are given by the equations 6F₁ +6F₂ + 5F3 = 8.2 F₁ + 2F₂ + 3F3 = 2.2 4F₁ + 2F₂ + 3F3 = 4.6 Find the values of the forces using the inverse matrix method and verify that your solution is correct

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 6E
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Forces F₁, F₂ and F3 on a body in equilibrium are given by the equations
6F₁ + 6F₂ + 5F3 = 8.2
F₁ + 2F₂ + 3F3 = 2.2
4F₁ + 2F₂ + 3F3 = 4.6
Find the values of the forces using the inverse matrix method and verify that your solution is
correct
Transcribed Image Text:Forces F₁, F₂ and F3 on a body in equilibrium are given by the equations 6F₁ + 6F₂ + 5F3 = 8.2 F₁ + 2F₂ + 3F3 = 2.2 4F₁ + 2F₂ + 3F3 = 4.6 Find the values of the forces using the inverse matrix method and verify that your solution is correct
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