Editing Quotient space (linear algebra) (section)

{{Short description|Vector space consisting of affine subsets}}
{{about|quotients of vector spaces|quotients of topological spaces|Quotient space (topology)}}

In [[linear algebra]], the '''quotient''' of a [[vector space]] <math>V</math> by a [[linear subspace|subspace]] <math>N</math> is a vector space obtained by "collapsing" <math>N</math> to zero. The space obtained is called a '''quotient space''' and is denoted <math>V/N</math> (read "<math>V</math> mod <math>N</math>" or "<math>V</math> by <math>N</math>").