Solve the system of equations

 2T₁ + T₂ – T₃ = 30

T₁ – T₂ + 7T₃ = 270

T₁ + 6T₂ – T₃ = 160

by Jacobi and Gauss-Seidel iteration. Use as a convergence criterion | T₂ ^(p) – T₂ ^{(p – 1)} | < 0.001. Compare the rate of convergence for the two methods.

GIVEN

• A system of three equations