Following systems of equations are given
18$x_1$ - 2$x_2$ - 3$x_3$ = 3800
7$x_3$ - 4$x_1$ - $x_2$ = 2350
15$x_2$ - 3$x_1$ - 6$x_3$ = 1200
a) Rearrange the equations to guarantee the convergence to be able to use Gauss-Siedel Method
b) Starting from the initial values of $x_1^0$, $x_2^0$, $x_3^0$=0, find $x_1$, $x_2$ and $x_3$ using Gauss-Siedel Method
until the approximation error for $x_3$ falls below 16% (or for 3 iterations if you cannot fall below
16%)
c) Use Jacobi iteration to find $x_1$, $x_2$ and $x_3$ for the same number of iterations
d) Show with which method, convergence seems to be faster and why (consider only $x_3$)
Keep your calculations within maximum of 3 digits after decimal point
