> 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/no/matematikk/04-matrices.md).

# Matriser

## amsmath-omgivelser for matriser

Den `amsmath` pakken gir kommandoer for å sette matriser med ulike skilletegn. Når du har lastet inn `\usepackage{amsmath}` i preamblen kan du bruke følgende omgivelser i matematikkomgivelsene dine:

| Type                                   | LaTeX-markering                                       | Gjengis som                                         |
| -------------------------------------- | ----------------------------------------------------- | --------------------------------------------------- |
| Vanlig                                 | `\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>hakeparenteser</p>      | `\begin{bmatrix} 1 & 2 & 3\\ a & b & c \end{bmatrix}` | $$\begin{bmatrix}1 & 2 & 3\a & b & c\end{bmatrix}$$ |
| <p>Klammer;<br>krøllparenteser</p>     | `\begin{Bmatrix} 1 & 2 & 3\\ a & b & c \end{Bmatrix}` | $$\begin{Bmatrix}1 & 2 & 3\a & b & c\end{Bmatrix}$$ |
| Loddrette streker                      | `\begin{vmatrix} 1 & 2 & 3\\ a & b & c \end{vmatrix}` | $$\begin{vmatrix}1 & 2 & 3\a & b & c\end{vmatrix}$$ |
| Doble loddrette streker                | `\begin{Vmatrix} 1 & 2 & 3\\ a & b & c \end{Vmatrix}` | $$\begin{Vmatrix}1 & 2 & 3\a & b & c\end{Vmatrix}$$ |

Hvis du trenger å lage matriser med ulike [avgrensere](/latex/no/matematikk/03-brackets-and-parentheses.md), kan du legge dem til manuelt i en vanlig `matrix`. For eksempel:

| LaTeX-markering                                                                | Gjengis 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` | $$\left\langle\begin{matrix}1 & 2 & 3\a & b & c\end{matrix}\right\rangle$$ |

## Matriser på linje

Når du setter matematikk på linje, kan de vanlige `matrix` omgivelsene ovenfor se for store ut. Det kan være bedre å bruke `smallmatrix` i slike situasjoner, selv om du må legge til din egen [avgrensere](/latex/no/matematikk/03-brackets-and-parentheses.md).

```latex
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\noindent Prøver å sette en matrise på linje her:
 $\begin{pmatrix}
  a & b\\
  c & d
\end{pmatrix}$,
men den ser for stor ut, så la oss prøve
$\big(\begin{smallmatrix}
  a & b\\
  c & d
\end{smallmatrix}\big)$
i stedet.
\end{document}
```

[Åpne dette `smallmatrix` eksemplet 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)

Følgende bilde viser resultatet som ble produsert av eksemplet ovenfor:

![Amsmatrix.png](/files/1fa8f9ed6ba42d2b5278b7731c5383a24aaa6f1c)

Den `mathtools` pakken tilbyr `psmallmatrix`, `bsmallmatrix` osv.-omgivelser for enkelhets skyld.

## Videre lesning

* [Matematiske uttrykk](/latex/no/matematikk/01-mathematical-expressions.md)
* [Klammer og parenteser](/latex/no/matematikk/03-brackets-and-parentheses.md)
* [Justere ligninger med amsmath](/latex/no/matematikk/06-aligning-equations-with-amsmath.md)
* [Visningsstil i matemodus](/latex/no/matematikk/10-display-style-in-math-mode.md)
* [Den ikke helt korte introduksjonen til LaTeX2ε](http://www.ctan.org/tex-archive/info/lshort/)
* [dokumentasjon for amsmath-pakken](http://texdoc.net/pkg/amsmath)
* [dokumentasjon for mathtools-pakken](http://texdoc.net/pkg/mathtools)


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