---
tag: 00YC1D652K
kind: concept
name: Linear subspace
aliases: [vector-subspace]
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_subspace
    locator: Definition
same_as:
  wikidata: Q728435
  wikipedia: Linear subspace
---

## Summary

A linear subspace of a vector space is a subset that contains the zero vector and is closed under addition and scalar multiplication.
It is a vector space with the same operations.