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--- Introduction ---
is an exercise on the multiplication of matrices:
one knows that if is a matrix of size and
of rank , then there exist two matrices and , of sizes
and respectively, such that .
It's normal if you don't know a formula allowing you to ``compute''
and from , as the solution
is not unique (in fact there are infinitely many solutions for each ).
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.
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Description: find two matrices whose product is a given matrix. serveur web interactif avec des cours en ligne, des exercices interactifs en sciences et langues pour l'enseigment primaire, secondaire et universitaire, des calculatrices et traceurs en ligne
Keywords: math, interactif, exercice,qcm,cours,classe,biologie,chimie,langue,interactive mathematics, interactive math, server side interactivity,exercise,qcm,class, algebra, linear_algebra, matrix, rank, vectors