Solve the following problems using the concepts and notation of set theory and vector spaces: What...

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

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Expert Solution

Colby Messinger answered 1 year ago

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