Solve the following problems using the concepts and notation of
set theory and vector spaces:
What is a Cartesian vector?
What is a real vector space?
Does the rational numbers fulfill the definition of a
field?
Define linearly dependency for any set of vectors.
Assess the linearly dependency (or not) of the following
vectors: u=<2,-1,1>,
v=<3,-4,-2>, and w=<5,-10,-8>
Define basis