ABSTRACT
A vector space is a set of mathematical entities to which addition and multiplication can apply. For instance, the number sets R and C form vector spaces, because they allow calculations like “6 + 2 = 8” and “(1 + i)× (2− i) = 3 + i”. Other mathematical entities that form a vector space include functions, polynomials, linear operators, as well as geometric arrows (=those which are commonly called “vectors” in elementary geometry).
