I need help with Python Program using NumPy library.

First generate a Matrix. Then:

Write an algorithm to obtain the RREF (Reduced Row-Echelon Form) of an m-by-n matrix.

Next write an algorithm to obtain the solution set.

After that, when applicable, write an algorithm to determine the inverse matrix (if it exists) of the RREF.

Some documentation:

http://www.math.umbc.edu/~campbell/Computers/Python/linalg.html

https://elonen.iki.fi/code/misc-notes/python-gaussj/

https://stackoverflow.com/questions/36677940/finding-solutions-to-row-reduced-matrix-python