Geodesic
Full rank factorization and the Flanders theorem
The electronic journal of linear algebra, Tome 18 (2009), pp. 352-363.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, a method is given that obtains a full rank factorization of a rectangular matrix. It is studied when a matrix has a full rank factorization in echelon form. If this factorization exists, it is proven to be unique. Applying the full rank factorization in echelon form the Flanders theorem and its converse in a particular case are proven.
Classification : 15A15, 15A23
Keywords: echelon form of a matrix, LU factorization, full rank factorization, Flanders theorem 
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     author = {Cant\'o, Rafael and Ricarte, Beatriz and Urbano, Ana M.},
     title = {Full rank factorization and the {Flanders} theorem},
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Cantó, Rafael; Ricarte, Beatriz; Urbano, Ana M. Full rank factorization and the Flanders theorem. The electronic journal of linear algebra, Tome 18 (2009), pp. 352-363. http://geodesic.mathdoc.fr/item/ELA_2009__18__a28/