Sage

Cette méthode s’applique aux objets Matrix.

Extrait de l'article de Wikipedia : "In linear algebra, a matrix is in echelon form if it has the shape resulting of a Gaussian elimination. Row echelon form means that Gaussian elimination has operated on the rows and column echelon form means that Gaussian elimination has operated on the columns. In other words, a matrix is in column echelon form if its transpose is in row echelon form. Therefore only row echelon forms are considered in the remainder of this article. The similar properties of column echelon form are easily deduced by transposing all the matrices."

Documentation sur cette méthode ecelon_form dans le manuel de référence de Sage

Deux algorithmes peuvent être utilisés :

• l'algorithme d'élimination de Gauss
  
• un algorithme divide and conquer de type Strassen