Chapter 2.3, Problem 1CP

For the $n\times n$

matrix with entries $A_{ij}=5/(i+2j-1)$, set $x={\left[1,\mathrm{...},1\right]}^T$ and $b=Ax$

. Use the MATLAB program from Computer Problem 2.1.1 or MATLAB’s backslash

command to compute $x_e$

, 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)

$\begin{array}{l}n=6(\text{b})\\ n=10.\end{array}$