Using the sympy.Matrix () method. Rref () we can put the matrix in a reduced row row ... Matrix (). Rref () returns a tuple of two elements. The first — this is a reduced row row, and the second — tuple of pivot column indices.
Syntax: Matrix (). rref ()
Returns: Returns a tuple of which first element is of type Matrix and second one is of type tuple.
Example # 1:
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Output:
Matrix: Matrix ([[1, 0, 1, 3], [2, 3, 4, 7], [-1, -3, -3, - 4]]) The Row echelon form of matrix M and the pivot columns: (Matrix ([[1, 0, 1, 3], [0, 1, 2/3, 1/3], [0, 0, 0 , 0]]), (0, 1))
Example # 2:
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Exit :
Matrix: Matrix ([[14, 0, 11, 3], [22, 23, 4, 7], [-12, -34, -3, -4]]) The Row echelon form of matrix M and the pivot columns: (Matrix ([[1, 0, 0, 1405/4254], [0, 1, 0, 10/709], [0, 0, 1, -314/2127]]), (0, 1, 2) )
