(Solved): Write a vector equation that is equivalent to the given system of equations. \[ \begin{array}{r} x_ ...

Write a vector equation that is equivalent to the given system of equations. \[ \begin{array}{r} x_{2}+2 x_{3}=0 \\ 4 x_{1}+7 x_{2}-x_{3}=0 \\ -x_{1}+3 x_{2}-9 x_{3}=0 \end{array} \] Choose the correct answer below. A. \( x_{1}\left[\begin{array}{r}0 \\ 4 \\ -1\end{array}\right]+x_{2}\left[\begin{array}{r}2 \\ -1 \\ -9\end{array}\right]+x_{3}\left[\begin{array}{l}1 \\ 7 \\ 3\end{array}\right]=\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right] \) B. c. \( \quad\left[\begin{array}{ll}3\end{array}\right]\left[\begin{array}{l}0 \\ -9\end{array}\right]+x_{1}+x_{2}\left[\begin{array}{c}7 \\ -1\end{array}\right]+x_{3}\left[\begin{array}{c}-1 \\ -9 \\ -9\end{array}\right]=\left[\begin{array}{l}0 \\ 0\end{array}\right] \) \( x_{1}\left[\begin{array}{r}0 \\ 4 \\ -1\end{array}\right]+x_{2}\left[\begin{array}{l}1 \\ 7 \\ 3\end{array}\right]+x_{3}\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right]=\left[\begin{array}{r}2 \\ -1 \\ -9\end{array}\right] \quad x_{1}\left[\begin{array}{l}1 \\ 7 \\ 3\end{array}\right]+x_{2}\left[\begin{array}{r}0 \\ 4 \\ -1\end{array}\right]+x_{3}\left[\begin{array}{r}2 \\ -1 \\ -9\end{array}\right]=\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right] \) Write the system first as a vector equation and then as a matrix equation. \[ \begin{array}{r} 6 x_{1}+x_{2}-3 x_{3}=2 \\ 2 x_{2}+3 x_{3}=0 \end{array} \] Write the system as a vector equation where the first equation of the system corresponds to the first row. Select the correct choice below and fill in any answer boxes to complete your choice. A. \( \left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3}\end{array}\right]= \) B. \( x_{1}+x_{2}+x_{3}= \) c. \( \left[\begin{array}{lll}x_{1} & x_{2} & x_{3}\end{array}\right]= \) Write the system as a matrix equation where the first equation of the system corresponds to the first row. Select the correct choice below and fill in any answer boxes to complete your choice. A. \( \left[\begin{array}{lll}x_{1} & x_{2} & x_{3}\end{array}\right]= \) B. \( x_{1}+x_{2}+x_{3}= \) c. \( \left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3}\end{array}\right]= \)