Search for question
Question

2. Find the first two iterations of the Jacobi method and the Gauss-Seidel method for the following

linear system, using (0) = 0:

a.

C.

4x₁ + x₂x3 = 5,

-x₁ + 3x2 + x3 = -4,

2x1 + 2x2 + 5x3 = 1.

4x₁ + x₂x3 +

x4 = -2,

x₁ +4x2 X3 X4 = -1,

x4 = 0,

-x₁x₂ + 5x3 +

x₁x₂ + x3 + 3x4 = 1.

-

b.

-2x₁ + x₂ + x3 = 4,

x₁-2x2x3 =

x₂ + 2x3 = 0.

Fig: 1