---
tag: 0B8T10CE7N
kind: concept
name: Linear isomorphism
msc: [15A04]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_map
    locator: Definition and first consequences
---

## Summary

A linear isomorphism is a bijective linear map.
Its inverse is also linear, and two spaces with an isomorphism between them are isomorphic.