---
tag: 0ZHWKQMVX5
kind: concept
name: Finite-dimensional vector space
msc: [15A03]
sources:
  - url: https://en.wikipedia.org/wiki/Dimension_(vector_space)
    locator: lead section
---

## Summary

A finite-dimensional vector space is a vector space that has a finite basis, or equivalently a finite spanning set.