For questions about vector spaces and their properties. More general questions about linear algebra belong under the [tag:linear-algebra] tag. A vector space is a space which consists of elements called "vectors", which can be added and multiplied by scalars. In other words, these are the spaces ...
Where can I find a proof of the following general Steinitz exchange lemma: Let $B$ be a basis of a vector space $V$, and $L\subset V$ be linearly independent. Then there is an injection ...