Vector space

Definition

• vector space: a space of vectors/functions obtained by equipping vectors in a certain dimension with addition and/or scalar multiplication operations
• eg. set of linear polynomials $ax+b$

Properties of vectors

• 

closure space

• definition: a property of a set under certain operations; a member is closed under certain operations if performing operation on a set still produces a member of that set
• eg. subspace is closed under addition and/or scalar multiplication operations