Vector space

by Nate Soares May 27 2016 updated Jun 13 2016

A vector space is a field $~$F$~$ paired with a Group $~$V$~$ and a function $~$\cdot : F \times V \to V$~$ (called "scalar multiplication") such that $~$1 \cdot v = v$~$ and such that scalar multiplication distributes over addition. Elements of the field are called "scalars," elements of the group are called "vectors."

Also there are some nice geometric interpretations and stuff.