Answer to Question #46680 in Math for sudhanshu pandey

Question

For the linear system of equations











=




















3
7
4
1 1 3
3 5 1
4 1 2
z
y
x
i) Set up the Gauss-Seidel iteration scheme in matrix form. (2)
ii) Show that this iteration scheme converges and find its rate of convergence. (1)
iii) Starting with initial approximation T
44.0[ perform two iterations of 8.0 44.0 ]
this scheme.