Solve this following

Question:

Let $\mathrm{A}=\left(\begin{array}{lll}1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1\end{array}\right)$. If $\mathrm{u}_{1}$ and $\mathrm{u}_{2}$ are column matrices such that $\mathrm{Au}_{1}=\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right)$ and

$A u_{2}=\left(\begin{array}{l}0 \\ 1 \\ 0\end{array}\right)$, then $u_{1}+u_{2}$ is equal to :

 

  1. $\left(\begin{array}{c}1 \\ -1 \\ -1\end{array}\right)$

  2. $\left(\begin{array}{c}-1 \\ 1 \\ 0\end{array}\right)$

  3. $\left(\begin{array}{c}-1 \\ 1 \\ -1\end{array}\right)$

  4. $\left(\begin{array}{c}-1 \\ -1 \\ 0\end{array}\right)$


Correct Option: 1

Solution:

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