!! 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 and of rank r, then there exist two matrices A and B, of sizes and respectively, such that C = A B.
The server will therefore give you such a randomly generated matrix C . And you are asked to find the matrices A and B.
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.
Other exercises on:
In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press Enter''.