Problem $1.(3$ points$).$ Topic: Linear Systems of Equations.

Develop the Matlab script $($m$-$file$)$ that solve the system of linear equations Ax $=$ b using Gauss$-$Jordan method.

a$)$ Take your matrix A and vector b using the file $$Data for HW#$2.$ pdf$$ and develop the MATLAB script that provide the ill$-$condition test of your matrix A including:

$-$ rank,

$-$ determinant,

$-$ norm, and

$-$ condition number

Matrix A

$5-54-1-7$

$-10-4-20$

$-896-1$

$7-1063$

Vector $-1$

$-6$

$7$

$-6$