CP$1[2$ marks$]$

Kindy solve this problem using MATLAB. Please provide screenshots of working code. Thanks in advance!!

$($a$)$ Construct the $8^2{8}^2$ Poisson matrix

$($Hint: Even if you use cond$()$

on a sparse matrix, MATLAB will default to condest.$)$

$($b$)$ By plotting the condition number of the Poisson matrix of various sizes, or otherwise, show that the condition number

of the $N^2{N}^2$ Poisson matrix grows like $O(N^2).$