a$)$ Write a code taking as input a matrix $A$ of size $mn$ and a vector $b$

of size $m1,$ where $m$ and $n$ are arbitrarily large numbers and Abm,

constructing the augmented matrix and performing

REF, and

RREF

without using any built$-in$ functions. $In$ case you encounter any divi$-$

sion $by0,$ you can choose a different $Aan\frac{d}{o}rb.$