---
tag: 0M83V17KHX
kind: concept
name: Complementary subspaces
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Complemented_subspace
    locator: Definition
same_as:
  wikidata: Q137454148
  wikipedia: Complemented subspace
---

## Summary

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