---
tag: 0NRYHJPQG2
kind: concept
name: Linear map
aliases: [linear-transformation]
msc: [15A04]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_map
    locator: Definition and first consequences
same_as:
  wikidata: Q207643
  wikipedia: Linear map
---

## Summary

A linear map is a map between vector spaces over the same field that preserves addition and scalar multiplication.