Compute the first four Gauss-Seidel iterations of the system

$$\begin{array}{rcrcr}2 x_1 & + & 3 x_{2} & = & 23 \\3 x_1 & + & x_{2} & = & 10\end{array}$$

using 0 as the initial value for each variable. Then rewrite the system so that it is diagonally dominant, set the value of each variable to 0, and again compute four Gauss-Seidel iterations.

Gauss-Seidel Iterations before rewriting:

$n$	$x_1$	$x_2$
$0$	$0$	$0$
$1$
$2$
$3$
$4$

Rewrite the system to be diagonally dominant:
=
=

Gauss-Seidel iterations after rewriting:

$n$	$x_1$	$x_2$
$0$	$0$	$0$
$1$
$2$
$3$
$4$