---
tag: 0M83V17KHX
kind: concept
name: Complementary subspaces
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Complemented_subspace
    locator: Definition
close_to:
  - system: wikipedia
    id: Complemented subspace
    note: This node is the linear algebra notion. The article is on the Banach space notion in node Q0TY362K0V.
  - system: wikidata
    id: Q137454148
    note: This node is the linear algebra notion. The article is on the Banach space notion in node Q0TY362K0V.
inventory: [SJBCXTEXCK]
---

## Summary

Two subspaces of a vector space are complementary when the space is their direct sum.