---
tag: 06BRDF3F0E
kind: concept
name: Reflection
msc: [15A04, 51F15]
sources:
  - url: https://en.wikipedia.org/wiki/Reflection_(mathematics)
    locator: Reflection through a hyperplane in n dimensions
same_as:
  wikidata: Q426221
  wikipedia: Reflection (mathematics)
---

## Summary

The reflection in a subspace $W$ of an inner product space fixes the vectors of $W$ and negates the vectors orthogonal to $W$.