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If \( \mathrm{A}=\left[\begin{array}{ccc}0 & 2 y & z \\ x & y & -z \\ x & -y & z\end{array}\right] \) satisfies the equation
\( \mathrm{P} \)
W
\( A^{\prime} A=I \), then the value of \( x, y \) and \( z \) are:
(A) \( x= \pm \frac{1}{\sqrt{3}}, y= \pm \frac{1}{\sqrt{6}}, z= \pm \frac{1}{\sqrt{2}} \)
(B) \( x= \pm \frac{1}{\sqrt{2}}, y= \pm \frac{1}{\sqrt{3}}, z= \pm \frac{1}{\sqrt{6}} \)
(C) \( x= \pm \frac{1}{\sqrt{6}}, y= \pm \frac{1}{\sqrt{6}}, z= \pm \frac{1}{\sqrt{2}} \)
(D) \( x= \pm \frac{1}{\sqrt{2}}, y= \pm \frac{1}{\sqrt{6}}, z= \pm \frac{1}{\sqrt{3}} \)
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