> 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/id/matematika/04-matrices.md).

# Matriks

## lingkungan matriks amsmath

Fitur `amsmath` paket ini menyediakan perintah untuk menata matriks dengan delimiter yang berbeda. Setelah Anda memuat `\usepackage{amsmath}` di preamble Anda, Anda dapat menggunakan lingkungan berikut dalam lingkungan matematika Anda:

| Tipe                                                 | Markup LaTeX                                          | Diterjemahkan sebagai                               |
| ---------------------------------------------------- | ----------------------------------------------------- | --------------------------------------------------- |
| Biasa                                                | `\begin{matrix} 1 & 2 & 3\\ a & b & c \end{matrix}`   | $$\begin{matrix}1 & 2 & 3\a & b & c\end{matrix}$$   |
| <p>Tanda kurung;<br>tanda kurung bulat</p>           | `\begin{pmatrix} 1 & 2 & 3\\ a & b & c \end{pmatrix}` | $$\begin{pmatrix}1 & 2 & 3\a & b & c\end{pmatrix}$$ |
| <p>Tanda kurung siku;<br>tanda kurung siku</p>       | `\begin{bmatrix} 1 & 2 & 3\\ a & b & c \end{bmatrix}` | $$\begin{bmatrix}1 & 2 & 3\a & b & c\end{bmatrix}$$ |
| <p>Tanda kurung kurawal;<br>tanda kurung kurawal</p> | `\begin{Bmatrix} 1 & 2 & 3\\ a & b & c \end{Bmatrix}` | $$\begin{Bmatrix}1 & 2 & 3\a & b & c\end{Bmatrix}$$ |
| Garis tegak                                          | `\begin{vmatrix} 1 & 2 & 3\\ a & b & c \end{vmatrix}` | $$\begin{vmatrix}1 & 2 & 3\a & b & c\end{vmatrix}$$ |
| Garis tegak ganda                                    | `\begin{Vmatrix} 1 & 2 & 3\\ a & b & c \end{Vmatrix}` | $$\begin{Vmatrix}1 & 2 & 3\a & b & c\end{Vmatrix}$$ |

Jika Anda perlu membuat matriks dengan berbeda [pemisah](/latex/id/matematika/03-brackets-and-parentheses.md), Anda dapat menambahkannya secara manual ke sebuah matriks biasa `matrix`. Misalnya:

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

## Matriks sebaris

Saat menata matematika sebaris, lingkungan biasa `matrix` di atas mungkin terlihat terlalu besar. Mungkin lebih baik menggunakan `smallmatrix` dalam situasi seperti itu, meskipun Anda perlu menyediakan sendiri [pemisah](/latex/id/matematika/03-brackets-and-parentheses.md).

```latex
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\noindent Mencoba menata sebuah matriks sebaris di sini:
 $\begin{pmatrix}
  a & b\\
  c & d
\end{pmatrix}$,
tetapi terlihat terlalu besar, jadi mari kita coba
$\big(\begin{smallmatrix}
  a & b\\
  c & d
\end{smallmatrix}\big)$
sebagai gantinya.
\end{document}
```

[Buka `smallmatrix` contoh di 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)

Gambar berikut menunjukkan keluaran yang dihasilkan oleh contoh di atas:

![Amsmatrix.png](/files/0617a7237ed567d91bd4671dd6031414b659006f)

Fitur `mathtools` paket ini menyediakan `psmallmatrix`, `bsmallmatrix` lingkungan, dll. untuk kemudahan.

## Bacaan lanjutan

* [Ekspresi matematika](/latex/id/matematika/01-mathematical-expressions.md)
* [Kurung dan tanda kurung](/latex/id/matematika/03-brackets-and-parentheses.md)
* [Menyelaraskan persamaan dengan amsmath](/latex/id/matematika/06-aligning-equations-with-amsmath.md)
* [Gaya tampilan dalam mode matematika](/latex/id/matematika/10-display-style-in-math-mode.md)
* [Pengantar LaTeX2ε yang tidak terlalu singkat](http://www.ctan.org/tex-archive/info/lshort/)
* [dokumentasi paket amsmath](http://texdoc.net/pkg/amsmath)
* [dokumentasi paket mathtools](http://texdoc.net/pkg/mathtools)


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