get_input:

Gets the system of equations as input from the user
    
Input:
    Takes one input arguments:
        1- degree of equation (number of variables)

Output:
    Outputs a NumPy ndarray representing the matrix corrosponding to the system of equations

singularity:

Checks the singularity of the matrix

Input:
    Takes two input arguments:
        1- The matrix
        2- Degree of the system

Output:
    1 if the system is non-singular, 0 if the system is singular

pivoting:

Turns a matrix into it's row echelon form (R.E.F.):
    - Get's the row's pivot (left-most non-zero value)
    - Turns all values below the pivot into zeros using proper row operations

Input:
    Takes 2 input arguments:
        - The augmented matrix
        - The degree of the system

Output:
    Outputs a matrix in the row echelon form

back_substitution:

Turns a row reduced matrix into it's reduced row echelon form (R.R.E.F.):
    - Get's the pivot of the row
    - Turns all values above the pivot into zeros using proper row operations

Input:
    - Matrix in R.E.F.
    - Number of rows
Output:
    - A matrix in it's reduced row echelon form

sys_sol:

Uses all the previous functions to output a solution to the system

Input:
    Takes no input

Output:
    Outputs a tuple containing the solutions to the system