$($Matlab or Python$)$ Consider the following linear system

$4x_1+x_2-x_3+x_4=-2$

$x_1+4x_2-x_3-x_4=-1$

$-x_1-x_2+5x_3+x_4=0$

$x_1-x_2+x_3+3x_4=1$

Using the stopping criterion and zero vector $x^{(0)}=0$ as the initial guess, write the computer program for

a$.$ Jacobi method

b$.$ Gauss$-$Seidel method

Write down the corresponding $T$ and $c$ for each iterative method. Record and compare the convergence of these methods, and summarize them briefly in a few sentences.