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Solve the following system of four equations using gauss

Assignment:

1) Solve the following system of four equations using Gauss Elimination:

4x₁ - 2x₂ - 3x₃ + 6x₄ = 12

-6x₁ + 7x₂ + 6.5x₃ - 6x₄ = -6.5

x₁ + 7.5x₂ + 6.25x₃ + 5.5x₄ = 16

-12x₁ + 22x₂ + 15.5x₃ - x₄ = 17

2) Use Gauss Elimination with pivoting to solve:

0.9231F_AC = 1690

-F_AB - 0.3846F_AC = 3625

F_AB - 0.7809F_BC = 0

0.6427F_BC - F_BD = 0

F_CD + 0.8575F_DE = 0

F_BD - 0.5145F_DE - F_DF = 0

0.3846F_CE - 0.3846F_AC - 0.7809F_BC - F_CD = 0

0.9231F_AC+ 0.6247F_BC - 0.9231F_CE= 0

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Engineering Mathematics: Solve the following system of four equations using gauss

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