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If \( \Delta_{1}=\left|\begin{array}{ccc}x-y-z & 2 x & 2 x \\ 2 y & y-z-x & 2 y \\ 2 z & 2 z & z-x-y\end{array}\right| \) and
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W
\[
\Delta_{2}=\left|\begin{array}{ccc}
x+y+2 z & x & y \\
z & y+z+2 x & y \\
z & x & z+x+2 y
\end{array}\right| \text { then }
\]
(1) \( \Delta_{1}=2 \Delta_{2} \)
(2) \( \Delta_{2}=2 \Delta_{1} \)
(3) \( \Delta_{1}=\Delta_{2} \)
(4) None of these
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