ABSTRACT
A vector space (or linear space) consists of four things { F , V , + , s . m . } $ \{ F, V, + , s.m.\} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315208657/c3a398e7-9861-47a8-b5b5-8b0c24135fcb/content/inline-math1_1.tif"/> , where F is a field of scalars, V is the set of vectors, and + and s.m. are binary operations on the set V called vector addition and scalar multiplication, respectively. In this chapter we shall define each term axiomatically and provide several examples.
