Write the System of Equations for Which the Given Matrix $$\left[ \begin{array} { c c c c } 0 & 2 & 6 & 3 \\1 & 0 & 0 & - 9 \\2 & 3 & 0 & 0\end{array} \right]$$

Multiple Choice

Write the system of equations for which the given matrix is the augmented matrix. $$\left[ \begin{array} { c c c c } 0 & 2 & 6 & 3 \\1 & 0 & 0 & - 9 \\2 & 3 & 0 & 0\end{array} \right]$$

A) $\left\{ \begin{aligned}y + 6 z & = 3 \\z & = - 9 \\2 x - 3 y & = 0\end{aligned} \right.$

B) $\left\{ \begin{aligned}2 x + 6 z & = 3 \\x & = - 9 \\x + 3 y & = 0\end{aligned} \right.$

C) $\left\{ \begin{aligned}2 x + 6 z & = 3 \\z & = - 9 \\2 y + 3 z & = 0\end{aligned} \right.$

D) $\left\{ \begin{aligned}2 y + 6 z & = 3 \\x & = - 9 \\2 x + 3 y & = 0\end{aligned} \right.$

E) none