If \( \mathrm{A}=\alpha\left[\begin{array}{cc}1 & 1+i \\ 1-i & -1\e...

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If \( \mathrm{A}=\alpha\left[\begin{array}{cc}1 & 1+i \\ 1-i & -1\end{array}\right], \alpha \in \mathrm{R} \), is a unitary matrix
P
W then \( \alpha^{2} \) is
(A) \( 1 / 2 \)
(B) \( 1 / 3 \)
(C) \( 1 / 4 \)
(D) \( 2 / 9 \)
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