\section{Problem}
Write a general program for solving the system of n linear equations Ax = b using the Gauss-Seidel \textbf{and} Jacobi iterative algorithms.

We are given following system:
\[
\systeme{10x_1-4x_2+x_3+2x_4=-8, 2x_1-6x_2+3x_3-x_4=-12, x_1+4x_2-12x_3+x_4=4, 2x_1+3x_2-3x_3-10x_4=1}
\]

Then we need to compare the results of iterations plotting norm of the solution error versus the iteration number \textbf{k}, untill we get accuracy better than $10^{-10}$.

We should also try to solve the equations from problem 2a) and 2b) for n = 10 using iterative method of our choice.