\documentclass{article}
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\begin{document}

The transpose of 
\begin{align*}
\left[ \begin{array}{lll}
   0 & 1 & 0
\\ 0 & 1 & 0
\\ 0 & 1 & 0
\end{array} \right]
\end{align*}
 is 
\begin{align*}
\left[ \begin{array}{lll}
   0 & 0 & 0
\\ 1 & 1 & 1
\\ 0 & 0 & 0
\end{array} \right]
\end{align*}
.

\end{document}