Mathjax：行列と表

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Mathjax：行列と表

	表示	入力文字	記述例
行列　( )	$\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$	\begin{pmatrix}   1 & 2 \\\   3 & 4 \end{pmatrix}	\begin{pmatrix}   a & b & c \\\   d & e  & f \\\   g & h & i \end{pmatrix} $\begin{pmatrix} a & b & c \\ d & e  & f \\ g & h & i \end{pmatrix}$ ＆：列、\\\：行
行列 [ ]	$\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$	\begin{bmatrix}   1 & 2 \\\   3 & 4 \end{bmatrix}	\begin{bmatrix}   x+1 & x & x-1 \\\   x & x-1  & x-2 \\\   x-1 & x-2 & x-3 \end{bmatrix} $\begin{bmatrix} x+1 & x & x-1 \\  x & x-1  & x-2 \\  x-1 & x-2 & x-3 \end{bmatrix}$
行列式| |	$\mathrm{det}X=\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}$	\mathrm{det}X= \begin{vmatrix}   1 & 2 \\\   3 & 4 \end{vmatrix}	\begin{vmatrix}   1 & 2 \\\   3 & 4 \end{vmatrix} \\\ =1 \times 4-2 \times 3=-2 $\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix} $　$ =1 \times 4-2 \times 3=-2$
転置行列	$ \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}^{\mathrm{T}} $	\begin{pmatrix}   1 & 2 \\\   3 & 4 \end{pmatrix} ^{\mathrm{T}}	\begin{pmatrix}   1 & 2 \\\   3 & 4 \end{pmatrix}^{\mathrm{T}} =\begin{pmatrix}   1 & 3 \\\   2 & 4 \end{pmatrix} $\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}^{\mathrm{T}}=\begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}$
例１	$\left( \begin{array}{cccc} x_{11} & x_{12} & \ldots & x_{1m} \\ x_{21} & x_{22} & \ldots & x_{2m} \\ \vdots & \vdots & \ddots & \vdots \\ x_{n1} & x_{n2} & \ldots & x_{nm} \end{array} \right) $	\left(   \begin{array}{cccc}    x_{11} & x_{12} & \ldots & x_{1m} \\\    x_{21} & x_{22} & \ldots & x_{2m} \\\   \vdots & \vdots & \ddots & \vdots \\\    x_{n1} & x_{n2} & \ldots & x_{mn} \end{array} \right)
例２	$\left( \begin{array}{|c|c|c|c|} x_{11} & x_{12} & \ldots & x_{1m} \\ \hline x_{21} & x_{22} & \ldots & x_{2m} \\ \hline \vdots & \vdots & \ddots & \vdots \\ \hline x_{n1} & x_{n2} & \ldots & x_{nm} \end{array} \right) $	\left( \begin{array}{|c|c|c|c|}   x_{11} & x_{12} & \ldots & x_{1m} \\\    \hline   x_{21} & x_{22} & \ldots & x_{2m} \\\    \hline   \vdots & \vdots & \ddots & \vdots \\\    \hline    x_{n1} & x_{n2} & \ldots & x_{mn}  \end{array} \right)  {|c|c|c|c|}が縦線、\hlineが横線
例３	$\begin{array}{|c|c|c|c|}\hline x_{11} & x_{12} & \ldots & x_{1m} \\ \hline x_{21} & x_{22} & \ldots & x_{2m} \\ \hline \vdots & \vdots & \ddots & \vdots \\ \hline x_{n1} & x_{n2} & \ldots & x_{nm} \\ \hline \end{array} $	\begin{array}{|c|c|c|c|}   \hline    x_{11} & x_{12} & \ldots & x_{1m} \\\   \hline    x_{21} & x_{22} & \ldots & x_{2m} \\\   \hline    \vdots & \vdots & \ddots & \vdots \\\   \hline    x_{n1} & x_{n2} & \ldots & x_{nm} \\\   \hline \end{array}