---
tag: 0JMTY8MF54
kind: concept
name: Sum of subspaces
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_subspace
    locator: Operations and relations on subspaces
---

## Summary

The sum of two subspaces is the set of all sums of a vector of the first subspace and a vector of the second subspace.
It is the smallest subspace that contains both.