Question: The total number of matrices
$A=\left(\begin{array}{ccc}0 & 2 y & 1 \\ 2 x & y & -1 \\ 2 x & -y & 1\end{array}\right),(x, y \in R, x \neq y)$ for which
$\mathrm{A}^{\mathrm{T}} \mathrm{A}=3 \mathrm{I}_{3}$ is :-
Correct Option: , 4
Solution:
