Editing Linear subspace (section)

{{Short description|In mathematics, vector subspace}}
In [[mathematics]], and more specifically in [[linear algebra]], a '''linear subspace''' or '''vector subspace'''<ref>{{Harvtxt|Halmos|1974}} pp. 16–17, § 10</ref><ref group="note">The term ''linear subspace'' is sometimes used for referring to [[flat (geometry)|flats]] and [[affine subspace]]s. In the case of vector spaces over the reals, linear subspaces, flats, and affine subspaces are also called ''linear manifolds'' for emphasizing that there are also [[manifold]]s.</ref> is a [[vector space]] that is a [[subset]] of some larger vector space. A linear subspace is usually simply called a ''subspace'' when the context serves to distinguish it from other types of [[subspace (mathematics)|subspaces]].