Available for you to use in this problem is the following function:

function $[$x$,$err$\_$approx,iter$]=$ gauss$\_$seidel$(A,6,$ err$\_$stop, maxiter$)$

Write a script that uses the gauss$\_$seidel function to solve the following system of equations.

$0\mathrm{.}8x_1-0\mathrm{.}4x_2,=41$

$-0\mathrm{.}4x_1+0\mathrm{.}8x_2-0\mathrm{.}4x_3=25$

$-0\mathrm{.}4x_2+0\mathrm{.}8x_3=105$

Compute the approximate relative percent error for each component after each iteration. Continue the method until the maximum approximate relative percent error of each component falls below $5\%.$

Requirements:

Assign the variable $x$ to the solution of the problem as a $31$ column matrix.

Assign the variable err$\_$approx to the row matrix of approximate relative percent errors of each component after the solution is found.

Assign the variable iter to the number of iterations needed until the maximum error fell below the threshold.