subspace and span

Subspace

• subspace:
  • the set of all possible linear combination of the vectors in a vector space, including 0 vector (which makes it different from span)
  • a subset of a vector space

Span

• the set of all possible linear combination of the vectors in a vector space, excluding 0 vector

info on relation

• refer to relations between vector space, span, subspace, affine set, hyperplane