> For the complete documentation index, see [llms.txt](https://overleaf-pro.ayaka.space/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://overleaf-pro.ayaka.space/latex/da/matematik/04-matrices.md).

# Matricer

## amsmath-matrixmiljøer

Den `amsmath` pakken indeholder kommandoer til at sætte matricer op med forskellige skilletegn. Når du har indlæst `\usepackage{amsmath}` i din præambel, kan du bruge følgende miljøer i dine matematikmiljøer:

| Type                                     | LaTeX-markup                                          | Vises som                                           |
| ---------------------------------------- | ----------------------------------------------------- | --------------------------------------------------- |
| Almindelig                               | `\begin{matrix} 1 & 2 & 3\\ a & b & c \end{matrix}`   | $$\begin{matrix}1 & 2 & 3\a & b & c\end{matrix}$$   |
| <p>Parenteser;<br>runde parenteser</p>   | `\begin{pmatrix} 1 & 2 & 3\\ a & b & c \end{pmatrix}` | $$\begin{pmatrix}1 & 2 & 3\a & b & c\end{pmatrix}$$ |
| <p>Klammer;<br>firkantede parenteser</p> | `\begin{bmatrix} 1 & 2 & 3\\ a & b & c \end{bmatrix}` | $$\begin{bmatrix}1 & 2 & 3\a & b & c\end{bmatrix}$$ |
| <p>Braces;<br>krøllede parenteser</p>    | `\begin{Bmatrix} 1 & 2 & 3\\ a & b & c \end{Bmatrix}` | $$\begin{Bmatrix}1 & 2 & 3\a & b & c\end{Bmatrix}$$ |
| Lodrette streger                         | `\begin{vmatrix} 1 & 2 & 3\\ a & b & c \end{vmatrix}` | $$\begin{vmatrix}1 & 2 & 3\a & b & c\end{vmatrix}$$ |
| Dobbelte lodrette streger                | `\begin{Vmatrix} 1 & 2 & 3\\ a & b & c \end{Vmatrix}` | $$\begin{Vmatrix}1 & 2 & 3\a & b & c\end{Vmatrix}$$ |

Hvis du har brug for at oprette matricer med forskellige [afgrænsere](/latex/da/matematik/03-brackets-and-parentheses.md), kan du tilføje dem manuelt til en almindelig `matrix`. For eksempel:

| LaTeX-markup                                                                   | Vises som                                                                  |
| ------------------------------------------------------------------------------ | -------------------------------------------------------------------------- |
| `\left\lceil \begin{matrix} 1 & 2 & 3\\ a & b & c \end{matrix} \right\rceil`   | $$\left\lceil\begin{matrix}1 & 2 & 3\a & b & c\end{matrix}\right\rceil$$   |
| `\left\langle \begin{matrix} 1 & 2 & 3\\ a & b & c \end{matrix} \right\rvert`  | $$\left\langle\begin{matrix}1 & 2 & 3\a & b & c\end{matrix}\right\rvert$$  |
| `\left\langle \begin{matrix} 1 & 2 & 3\\ a & b & c \end{matrix} \right\rangle` | $$\left\langle\begin{matrix}1 & 2 & 3\a & b & c\end{matrix}\right\rangle$$ |

## Indlejrede matricer

Når du sætter løbende matematik, kan de sædvanlige `matrix` miljøer ovenfor se for store ud. Det kan være bedre at bruge `smallmatrix` i sådanne situationer, selv om du selv skal angive din egen [afgrænsere](/latex/da/matematik/03-brackets-and-parentheses.md).

```latex
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\noindent Forsøger at sætte en indlejret matrice her:
 $\begin{pmatrix}
  a & b\\
  c & d
\end{pmatrix}$,
men den ser for stor ud, så lad os prøve
$\big(\begin{smallmatrix}
  a & b\\
  c & d
\end{smallmatrix}\big)$
i stedet.
\end{document}
```

[Åbn dette `smallmatrix` eksempel i Overleaf](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=amsmath+matrix+example\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bamsmath%7D%0A%5Cbegin%7Bdocument%7D%0A%5Cnoindent+Trying+to+typeset+an+inline+matrix+here%3A%0A+%24%5Cbegin%7Bpmatrix%7D%0A++a+%26+b%5C%5C+%0A++c+%26+d%0A%5Cend%7Bpmatrix%7D%24%2C++%0Abut+it+looks+too+big%2C+so+let%27s+try+%0A%24%5Cbig%28%5Cbegin%7Bsmallmatrix%7D%0A++a+%26+b%5C%5C%0A++c+%26+d%0A%5Cend%7Bsmallmatrix%7D%5Cbig%29%24+%0Ainstead.%0A%5Cend%7Bdocument%7D)

Det følgende billede viser resultatet, som eksemplet ovenfor producerer:

![Amsmatrix.png](/files/3be0c24e83387ad9c216c9aaf2055adbcd4b95c1)

Den `mathtools` pakken indeholder `psmallmatrix`, `bsmallmatrix` osv.-miljøer for nemheds skyld.

## Yderligere læsning

* [Matematiske udtryk](/latex/da/matematik/01-mathematical-expressions.md)
* [Firkantede klammer og parenteser](/latex/da/matematik/03-brackets-and-parentheses.md)
* [Justering af ligninger med amsmath](/latex/da/matematik/06-aligning-equations-with-amsmath.md)
* [Display-stil i matematisk tilstand](/latex/da/matematik/10-display-style-in-math-mode.md)
* [Den ikke helt korte introduktion til LaTeX2ε](http://www.ctan.org/tex-archive/info/lshort/)
* [amsmath-pakkens dokumentation](http://texdoc.net/pkg/amsmath)
* [dokumentation til mathtools-pakken](http://texdoc.net/pkg/mathtools)


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