Span, linear independence, linear dependence, basis and dimension
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Span
Definition
Given a set of vectors [ilmath]S[/ilmath] in a vector space [ilmath](V,F)[/ilmath]
[math]\text{Span}(S)=\{\sum^n_{i=1}\lambda v_i|n\in\mathbb{N},\ v_i\in S,\ \lambda_i\in F\}[/math]
It is very important that only finite linear combinations are in the span.
TODO:
