rref2, a Python code which involves a user-written approach to compute the reduced row echelon form (RREF) of a matrix, which can be used to analyze matrices which are square or rectangular, singular or invertible.
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rref2 is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version and an R version.
row_echelon_integer, a Python code which carries out the exact computation of the integer row echelon form (IREF) and integer reduced row echelon form (IRREF) of an integer matrix.