Latex: 反对称矩阵 ^ 符号的录入
## Skey-symmetirc symple:
a^\hat{} b
## Example:
$$
a \times b
=
\begin{bmatrix}
i & j & k \\\
a_1 & a_2 & a_3 \\\
b_1 & b_2 & b_3
\end{bmatrix}
=
\begin{bmatrix}
a_2 b_3 - a_3 b_2 \\
a_3 b_1 - a_1 b_3 \\
a_1 b_2 - a_2 b_1
\end{bmatrix}
=
\begin{bmatrix}
0 & -a_3 & a_2 \\
a_3 & 0 & -a_1 \\
-a_2 & a_1 & 0
\end{bmatrix}
b
\triangleq
a^\hat{} b
$$
\begin{equation}
a \times b
=
\begin{bmatrix}
i & j & k \\
a_1 & a_2 & a_3 \\
b_1 & b_2 & b_3
\end{bmatrix}
=
\begin{bmatrix}
a_2 b_3 - a_3 b_2 \\
a_3 b_1 - a_1 b_3 \\
a_1 b_2 - a_2 b_1
\end{bmatrix}
=
\begin{bmatrix}
0 & -a_3 & a_2 \\
a_3 & 0 & -a_1 \\
-a_2 & a_1 & 0
\end{bmatrix}
b
\triangleq
a^\hat{} b
\end{equation}
## Other methods
```sh
\documentclass{standalone}
\usepackage{upquote}% getting the right grave ` (and not ‘)!
\begin{document}
\begin{tabular}{lcc}
Input & Text & Math \\ \hline
\verb|\string^| & \string^ & $\string^$ \\
\verb|\char`\^| & \char`\^ & $\char`\^$ \\
\verb|\verb!^!| & \verb!^! & $\verb!^!$ \\ \hline
\verb|\textasciicircum| & \textasciicircum & --- \\
\verb|\^{}| & \^{} (e.g. \^a) & --- \\ \hline
\verb|\hat{}| & --- & $\hat{}$ (e.g. $\hat a$) \\
\verb|\wedge| & --- & $\wedge$ (e.g. $a\wedge b$) \\
\verb|\widehat{}| & --- & $\widehat{\ }$ (e.g. $\widehat{abc}$) \\
\end{tabular}
\end{document}
```
![i.stack.imgur.com/GA9lL.png](https://i.stack.imgur.com/GA9lL.png)
## Reference
- https://tex.stackexchange.com/questions/77646/how-to-typeset-the-symbol-caret-circumflex-hat
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