---
tag: 0R9NMSM1ZP
kind: concept
name: Adjoint of a linear map
msc: [15A04, 47A05]
sources:
  - url: https://en.wikipedia.org/wiki/Hermitian_adjoint
    locator: Definition for bounded operators between Hilbert spaces
same_as:
  wikidata: Q1509647
  wikipedia: Hermitian adjoint
---

## Summary

The adjoint of a linear map between finite-dimensional inner product spaces is a linear map in the opposite direction.
It moves the map from one side of the inner product to the other.