For the following set or nonlinear system, $...$ given $-$ any nonzero $-$ initial values,

$f(,)=+e^{-}+{}^3$

$g(,)={}^2+2-{}^2+tan()$

Apply the $($Gauss$-$Jacobi$)$ techniques, in such a way to perform the following $(5$ marks$).$

Write a code for $($Gauss$-$Jacobi$)$ to get the results.

Write a code for $($Gauss$-$Jacobi$)$ to get the results.

Compare the two results $($Hand Calculations$)$ and $($computer code Output$).$

Apply the $($Gauss$-$Seidel$)$ techniques, in such a way to perform the following $(5$ marks$).$

Write a code for $($Gauss$-$Seidel$)$ to get the results.

Write a code for $($Gauss$-$Seidel$)$ to get the results.

Compare the two results $($Hand Calculations$)$ and $($computer code Output$).$

Compare the number of iterations, for both Gauss$-$Seidel and Gauss$-$Jacobi.

You might use all zeros initial values. For the coding and scripting, please use $($c$++,$ or python, or matlab$),$ with $..$ preferably python.