1
Fork 0
mirror of https://github.com/Steffo99/appunti-magistrali.git synced 2024-11-25 11:34:18 +00:00
appunti-steffo/0 - Generale/operatore aggiunto.md

23 lines
646 B
Markdown
Raw Normal View History

2024-06-04 06:16:05 +00:00
[[Operazione]] [[numero complesso|complessa]] [[matrice|matriciale]] che consiste nella combinazione dell'[[operatore coniugato]] e dell'[[operatore trasposto]].
$$
\huge \mathbf{M}^\dagger = \mathbf{M}'^{*}
$$
$$
\begin{bmatrix}
1 + {\color{hotpink}1i} & 1 + {\color{hotpink}2i} \\
2 + {\color{hotpink}1i} & 2 + {\color{hotpink}2i}
\end{bmatrix}^\dagger
=
\begin{bmatrix}
(1 + {\color{hotpink}1i})^* & (2 + {\color{hotpink}1i})^* \\
(1 + {\color{hotpink}2i})^* & (2 + {\color{hotpink}2i})^*
\end{bmatrix}
=
\begin{bmatrix}
1 - {\color{hotpink}1i} & 2 - {\color{hotpink}1i} \\
1 - {\color{hotpink}2i} & 2 - {\color{hotpink}2i}
\end{bmatrix}
$$