Matriks dengan \begin ... \end (MathJax)
1) Matriks dasar
Tanpa kurung (environment matrix):
$$ \begin{matrix}
1 & 2 & 3 \\
4 & 5 & 6
\end{matrix} $$
Kurung bulat (environment pmatrix):
$$ \begin{pmatrix}
1 & 2 & 3 \\
4 & 5 & 6
\end{pmatrix} $$
Kurung siku (environment bmatrix):
$$ \begin{bmatrix}
a & b \\
c & d
\end{bmatrix} $$
Kurung kurawal tebal (environment Bmatrix):
$$ \begin{Bmatrix}
1 & 0 \\
0 & 1
\end{Bmatrix} $$
Garis tunggal (environment vmatrix, biasa untuk determinan):
$$ \begin{vmatrix}
1 & 2 \\
3 & 4
\end{vmatrix} $$
Garis ganda (environment Vmatrix):
$$ \begin{Vmatrix}
1 & 2 \\
3 & 4
\end{Vmatrix} $$
2) Ukuran & titik-tiga
$$ A_{m \times n} = \begin{bmatrix}
a_{11} & a_{12} & \cdots & a_{1n} \\
a_{21} & a_{22} & \cdots & a_{2n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m1} & a_{m2} & \cdots & a_{mn}
\end{bmatrix} $$
3) Matriks augmented (dengan garis vertikal)
$$ \left[ \begin{array}{ccc|c}
1 & 2 & -1 & 0 \\
0 & 1 & 3 & 7 \\
2 & -1 & 0 & 4
\end{array} \right] $$
4) Operasi matriks (transpose, invers, perkalian)
Transpose:
$$ A^\top = \begin{bmatrix}
1 & 2 & 3 \\
4 & 5 & 6
\end{bmatrix}^{\!\top}
= \begin{bmatrix}
1 & 4 \\
2 & 5 \\
3 & 6
\end{bmatrix} $$
Determinannya 2×2:
$$ \det\!\begin{bmatrix} a & b \\ c & d \end{bmatrix} = ad - bc $$
Invers 2×2 (jika \(ad-bc \neq 0\)):
$$ \begin{bmatrix} a & b \\ c & d \end{bmatrix}^{-1}
= \frac{1}{ad - bc} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix} $$
Perkalian matriks \(C = AB\) (ukuran cocok):
$$ C_{ij} = \sum_{k=1}^{n} A_{ik} B_{kj} $$
5) Inline math
Kamu juga bisa tulis inline seperti ini: \( \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \) di dalam paragraf.
6) Array berpenjajaran (untuk sistem persamaan)
$$ \left\{
\begin{array}{rcl}
x + 2y & = & 5 \\
3x - y & = & 4
\end{array}
\right. $$
Catatan cepat: di LaTeX/MathJax pakai backslash \ (bukan slash /): contohnya \begin{bmatrix} ... \end{bmatrix}.
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