# place matrix and tikz side-by-side

I'm trying to place a matrix beside a tikz picture and I put isomorphism between them but it doesn't work. Can anyone advise me?

This is my attempt:

 \documentclass[10pt]{article}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{mathrsfs,array}
\begin{document}
\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}

\tikzset{graph-1/.style = {
line cap = round,
line join = round,
> = triangle 45,
x=0.7cm, y=0.7cm,
every node/.append style = {inner ysep=2mm}
}
}% end of tikzset

\begin{figure}[h]
\centering
$\displaystyle \alpha= \begin{pmatrix} 0 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \end{pmatrix} \cong \begin{tikzpicture}[graph-1] \draw (0, 1.5) -- + (2,0); \draw (0,-1.5) -- + (2,0); %%% \foreach \x in {0, 1} \draw (\x,1.5) -- (\x+1,-1.5); \foreach \x/\label in {0/\scriptstyle1, 1/\scriptstyle2, 2/\scriptstyle3} \draw[fill=uuuuuu] (\x,1.5) circle (1.3pt) node[above] {$\label$}; % \foreach \x/\label in {0/\scriptstyle1, 1/\scriptstyle2, 2/\scriptstyle3} \draw[fill=uuuuuu] (\x,-1.5) circle (1.3pt) node[below] {$\label$}; \end{tikzpicture}$
\caption{Caption}
\label{ex}
\end{figure}
\end{document}


After loading the amsmath package and some minor adjustments it works, I think.

\documentclass[10pt]{article}
\usepackage{geometry}%
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{mathrsfs,array}
\begin{document}
\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}

\tikzset{graph-1/.style = {
line cap = round,
line join = round,
> = triangle 45,
x=0.7cm, y=0.7cm,
every node/.append style = {inner ysep=2mm}
}
}% end of tikzset

\begin{figure}[h]
$\alpha= \begin{pmatrix} 0 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \\ \end{pmatrix} \cong \begin{tikzpicture}[graph-1,baseline={(fakebase.base)}] \node[draw=none] (fakebase){\strut}; \draw (0, 1.5) -- + (2,0); \draw (0,-1.5) -- + (2,0); %%% \foreach \x in {0, 1} \draw (\x,1.5) -- (\x+1,-1.5); \foreach \x/\label in {0/\scriptstyle1, 1/\scriptstyle2, 2/\scriptstyle3} \draw[fill=uuuuuu] (\x,1.5) circle (1.3pt) node[above] {\label}; % \foreach \x/\label in {0/\scriptstyle1, 1/\scriptstyle2, 2/\scriptstyle3} \draw[fill=uuuuuu] (\x,-1.5) circle (1.3pt) node[below] {\label}; \end{tikzpicture}$
\caption{Caption}
\label{ex}
\end{figure}
\end{document}