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

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A: Please see the below picture for detailed solution.