In python, do the following:

For the $nn$ matrix with entries $A_{ij}=\frac{5}{i+2j-1},$ set $x=[1,$dots,$1{]}^T$ and $b=Ax.$

Use the MATLAB program from Computer Problem $2\mathrm{.}1\mathrm{.}1$ or MATLaB's backslash

command to compute $x_c,$ the double precision computed solution. Find the infinity norm

of the forward error and the error magnification factor of the problem $Ax=b,$ and

compare it with the condition number of $A$ : $($a$)n=6($b$)n=10.$