--- Introduction ---
This module is an exercise of linear algebra, on the generation
of the vector space by a given set of vectors.
The exercise first gives you the vectors (randomly generated),
and automatically computes the rank of the matrix formed by these vectors.
You have to determine, according to these data, whether the vectors generate
the whole space, and give the reason for your reply.
A second question will be asked if the exercise is in an advanced mode.
This second question depends on the first reply: if you think that the
vectors generate the space, you will be presented another vector, and should
express it as a linear combination of the given generator vectors.
Otherwise, you should find a vector in the space which is not in the
subspace generated by the given vectors.
You may go to work on the exercise, by choosing the level of difficulty:
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- Description: does a given set of vectors generate the whole vector space?. 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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