Question
Let $A=\left|\begin{array}{ll}1 & 1 \\ 0 & 0\end{array}\right|,$ then

Answer

$A^2=\left|\begin{array}{ll}1 & 1 \\ 0 & 0\end{array}\right|\left|\begin{array}{ll}1 & 1 \\ 0 & 0\end{array}\right|$
$=\left|\begin{array}{ll}1 & 1 \\ 0 & 0\end{array}\right|$
$=A$

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