!! used as default html header if there is none in the selected theme.
Rankmult

Rankmult
--- Introduction ---

Rankmult
is an exercise on the multiplication of matrices:
one knows that if $C$ is a matrix of size $m\times n$ and
of rank $r$, then there exist two matrices $A$ and $B$, of sizes
$m\times r$ and $r\times n$ respectively, such that $C=AB$.
Remark.
It's normal if you don't know a formula allowing you to ``compute''
$A$ and $B$ from $C$, as the solution
is not unique (in fact there are infinitely many solutions for each $C$).
What you need is a good dose of reflexion. Try first the case where
rank=1, which is rather easy.
For bigger ranks, computations of linear combinations of vectors will be
necessary in general.

The most recent version This page is not in its usual appearance because WIMS is unable to recognize your
web browser.

Please take note that WIMS pages are interactively generated; they are not ordinary
HTML files. They must be used interactively ONLINE. It is useless
for you to gather them through a robot program.

Description: find two matrices whose product is a given matrix. serveur web interactif avec des cours en ligne, des exercices interactifs, des calculatrices et traceurs en ligne

Keywords: serveur interactif, enseignement, cours en ligne, ressources pédagogiques, sciences, langues, qcm,classes,exercices, algebra, linear_algebra, matrix, rank, vectors