Problems On Solving Linear System

Problems on Solving Linear System-1:

Putting x = x₁, y = y₀ in equation above, we have

Second Iteration,

Putting y = y₁, z = z₁ in the above equations, we get

Puttingx = x₂, z = z₁ in above equations, we obtain

Putting x = x₂, y = y₂ in above equations, we get

In Third Iteration,

We get

The values in the second and third iterations being practically the same, we can stop. Hence the solution is

            x = 1, y = −1, z = 1.