mirror of
https://github.com/Steffo99/appunti-magistrali.git
synced 2024-11-22 02:44:17 +00:00
22 lines
646 B
Markdown
22 lines
646 B
Markdown
[[Operazione]] [[numero complesso|complessa]] [[matrice|matriciale]] che consiste nella combinazione dell'[[operatore coniugato]] e dell'[[operatore trasposto]].
|
|
|
|
$$
|
|
\huge \mathbf{M}^\dagger = \mathbf{M}'^{*}
|
|
$$
|
|
|
|
$$
|
|
\begin{bmatrix}
|
|
1 + {\color{hotpink}1i} & 1 + {\color{hotpink}2i} \\
|
|
2 + {\color{hotpink}1i} & 2 + {\color{hotpink}2i}
|
|
\end{bmatrix}^\dagger
|
|
=
|
|
\begin{bmatrix}
|
|
(1 + {\color{hotpink}1i})^* & (2 + {\color{hotpink}1i})^* \\
|
|
(1 + {\color{hotpink}2i})^* & (2 + {\color{hotpink}2i})^*
|
|
\end{bmatrix}
|
|
=
|
|
\begin{bmatrix}
|
|
1 - {\color{hotpink}1i} & 2 - {\color{hotpink}1i} \\
|
|
1 - {\color{hotpink}2i} & 2 - {\color{hotpink}2i}
|
|
\end{bmatrix}
|
|
$$
|