If \( A=\left[\begin{array}{cc}\alpha & 0 \\ 1 & 1\end{arra...

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If \( A=\left[\begin{array}{cc}\alpha & 0 \\ 1 & 1\end{array}\right] \) and \( B=\left[\begin{array}{ll}1 & 0 \\ 5 & 1\end{array}\right] \), then the value of \( a \) for which \( A^{2}=B \) is:
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