def __init__(self, matrix):
""" Constructs a reduced row echelon form matrix from a given input """
assert isinstance(matrix, Matrix)
Matrix.__init__(self, matrix.rows, matrix.cols)
self.set(matrix)
self._pivots = inplace_gauss_elimination(self)
self._original = matrix
self._pivot_columns = [column for row, column in self._pivots]
self._free_columns = [
i for i in range(0, matrix.cols) if i not in self._pivot_columns
]
def __init__(self): Matrix.__init__(self, 9, 9)