Computational Methods

Computational Methods
Solve the system of four equations using Gauss Elimination and Using Gauss
Elimination with pivoting to solve:

Assignment #1
1.) Solve the following system of four equations using Gauss Elimination:
4×1 – 2×2 – 3×3 + 6×4 = 12
-6×1 +7×2 + 6.5×3 – 6×4 = -6.5
x1 + 7.5×2 + 6.25×3 + 5.5×4 = 16
-12×1 + 22×2 + 15.5×3 – x4 = 17
2.) Use Gauss Elimination with pivoting to solve:
0.9231FAC = 1690
-FAB – 0.3846FAC = 3625
FAB – 0.7809FBC = 0
0.6427FBC – FBD = 0
FCD + 0.8575FDE = 0
FBD – 0.5145FDE – FDF = 0
0.3846FCE – 0.3846FAC – 0.7809FBC – FCD = 0
0.9231FAC + 0.6247FBC – 0.9231FCE = 0
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