3.

Find the first two iterations of the SOR method with = 1.1 for the following linear systems, using

x(0) = 0:

a.

C.

4x₁ + x₂x3 = 5,

-X₁ + 3x₂ + x3 = -4,

2x1 + 2x2 + 5x3 = 1.

4x₁ + x₂x3 +

-

x4 = -2,

x₁ + 4x2-x3-

X4 = -1,

-X1 X₂ + 5x3 +

x4 = 0,

x₁x2 + x3 + 3x4 = 1.

b. -2x₁ + x₂ + x3 = 4,

X1-2x2x3 = -4,

x₂ + 2x3 = 0.