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- #1

I have another question regarding inverse matrices. I need to find

\[a^{2}\]

given:

\[\exists x: \begin{pmatrix} 1 &a \\ 2a &1 \end{pmatrix}^{2}\cdot \begin{pmatrix} 1\\ x \end{pmatrix}=\begin{pmatrix} 0\\ 0 \end{pmatrix}\]

Any hints or guidance will be appreciated !

Thanks !