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Let \( A=\left(\begin{array}{lll}1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1\end{array}\right) \). If \( u_{1} \) and \( u_{2} \) are column matrices such that \( A u_{1}=\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right) \) and \( A u_{2}=\left(\begin{array}{l}0 \\ 1 \\ 0\end{array}\right) \), then \( u_{1}+u_{2} \) is
\( \mathrm{P} \) equal to:
(1) \( \left(\begin{array}{c}-1 \\ 1 \\ 0\end{array}\right) \)
(2) \( \left(\begin{array}{c}-1 \\ 1 \\ -1\end{array}\right) \)
(3) \( \left(\begin{array}{c}-1 \\ -1 \\ 0\end{array}\right) \)
(4) \( \left(\begin{array}{c}1 \\ -1 \\ -1\end{array}\right) \)
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