Definition:Basis (Linear Algebra)

Linguistic Note
The pronunciation of bases in this context is bay-seez, not bay-siz.

Also known as
The phrase basis for $G$ can also be seen instead of basis of $G$.

Also see

 * Equivalence of Definitions of Basis (Linear Algebra)
 * Vector Space has Basis
 * Definition:Ordered Basis
 * Expression of Vector as Linear Combination from Basis is Unique
 * Definition:Change of Basis Matrix
 * Free Module is Isomorphic to Free Module on Set