Question

Let v be a vector space over F define a spanning of v.

Answer 1

Let $V$ be a vector space over a field $F$. For any finite subset ($v_{1},......,v_{n}$$)$ of $V,$ its span is the set of all of its linear combinations:

$Span(v_{1},.....,v_{n})= (c_{1}v_{1}+......+c_{n}v_{n}: c_{i}\epsilon F)$