The total number of matrices \( A=\left(\begin{array}{ccc}0 & 2... VIDEO
The total number of matrices \( A=\left(\begin{array}{ccc}0 & 2 y & 1 \\ 2 x & y & -1 \\ 2 x & -y & 1\end{array}\right),(x, \in R, x \neq y) \) for which \( \mathrm{A}^{\mathrm{T}} \mathrm{A}=3 \mathrm{I}_{3} \) is-
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