The server will therefore give you such a matrix
randomly generated, which is
of size 2×2 and rank 1
of size 2×3 and rank 1
of size 2×4 and rank 1
of size 3×3 and rank 1
of size 3×4 and rank 1
of size 4×4 and rank 1
of size 3×3 and rank 2
of size 3×4 and rank 2
of size 3×5 and rank 2
of size 4×4 and rank 2
of size 4×4 and rank 3
. And you are asked to find the matrices
It's normal if you don't know a formula allowing you to ``compute''
, 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.
Other exercises on:
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Description: find two matrices whose product is a given matrix. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games
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