(a) State a necessary and sufficient condition for the convergence of the Jacobi and Gauss-Seidel (GS) methods. (b) Use the previous part condition to show whether the GS method converges or diverges...

(a) State a necessary and sufficient condition for the convergence of the Jacobi and
Gauss-Seidel (GS) methods.
(b) Use the previous part condition to show whether the GS method converges or
diverges to the solution of the system
x + 2y = 3,
3x + (0.77)y = 4.
(c) Determine x
(1) by applying one iteration of the GS method with x
(0) = 0.