Editing Complex conjugate (section)

== Notation ==
The complex conjugate of a complex number <math>z</math> is written as <math>\overline z</math> or <math>z^*.</math> The first notation, a [[Vinculum (symbol)|vinculum]], avoids confusion with the notation for the [[conjugate transpose]] of a [[Matrix (mathematics)|matrix]], which can be thought of as a generalization of the complex conjugate. The second is preferred in [[physics]], where [[Dagger (mark)|dagger]] (†) is used for the conjugate transpose, as well as electrical engineering and [[computer engineering]], where bar notation can be confused for the [[logical negation]] ("NOT") [[Boolean algebra]] symbol, while the bar notation is more common in [[pure mathematics]].

If a complex number is [[Complex number#Matrix representation of complex numbers|represented as a <math>2 \times 2</math> matrix]], the notations are identical, and the complex conjugate corresponds to the [[matrix transpose]], which is a flip along the diagonal.<ref>{{Cite web |title=Lesson Explainer: Matrix Representation of Complex Numbers {{!}} Nagwa |url=https://www.nagwa.com/en/explainers/152196980513/ |access-date=2023-01-04 |website=www.nagwa.com |language=en}}</ref>