a) For the following set of linear equations: 10x₁ + 25x2x3 = 2 -3x₁ - 6x₂ + 2x3 = -6 x₁ + x2 + 15x3 = -4 a) Show two iterations

Question

a) For the following set of linear equations:
10x₁ + 25x2x3 = 2
-3x₁ - 6x₂ + 2x3 = -6
x₁ + x2 + 15x3 = -4
a) Show two iterations of the Gauss Siedel Method. Use an initial guess of x₂ = x3 = 0.5. Show your
calculations in MATLAB.
b) Show two iterations of the Jacobi method to solve these linear equations. Use an initial guess of x₁ = x₂ = X3 = 0.5.
c) Which method produces a solution closest to the actual solution after 2 iterations?

Kunduz · Accepted Answer

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