a) Write python 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 m < n, constructing the augmented matrix and performing REF, and RREF without using any built-in functions. In case you encounter any divi sion by 0, you can choose a different A and/or b. Deliverables: The code snippet showing the procedure for REF and RREF. (1 mark + 1 mark)

b) Identify the pivot and non-pivot columns and find the particular solu tion and solutions to Ax = 0. Deliverables: The code snippet showing the pivot and non-pivot columns, particular solution and the solutions to Ax = 0