---
tag: 0FTH2E9TAS
kind: concept
name: Complex conjugate
aliases: [conjugate]
msc: [30A99]
sources:
  - url: https://en.wikipedia.org/wiki/Complex_conjugate
    locator: lead section
same_as:
  wikidata: Q381040
  wikipedia: Complex conjugate
---

## Summary

The complex conjugate of a complex number has the same real part and the opposite imaginary part.
The conjugate of $a + b i$ is $a - b i$. In the [[complex plane|0CTE7A31XQ]], it is the reflection of the point in the real axis.