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How about $M = \begin{pmatrix}0&1\\\1&0\end{pmatrix}\begin{pmatrix}-1&0\\\0&1\end{pmatrix}$$M = \begin{pmatrix}0&1\\1&0\end{pmatrix}\begin{pmatrix}-1&0\\0&1\end{pmatrix}$?
How about $M = \begin{pmatrix}0&1\\\1&0\end{pmatrix}\begin{pmatrix}-1&0\\\0&1\end{pmatrix}$?
How about $M = \begin{pmatrix}0&1\\1&0\end{pmatrix}\begin{pmatrix}-1&0\\0&1\end{pmatrix}$?