arrow_back Which of the following systems has augmented matrix \begin{equation} \left[\begin{array}{cccc} 1 & 4 & 0 & 6 \\ 4 & 2 & -1 & 0 \\ 0 & 1 & 5 & -6 \end{array}\right] \text { ? } \end{equation}

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Which of the following systems has augmented matrix $\left[\begin{array}{cccc}1 & 4 & 0 & 6 \\ 4 & 2 & -1 & 0 \\ 0 & 1 & 5 & -6\end{array}\right]$ ? A. $\left\{\begin{array}{r}x+4 y-6 z=0 \\ 4 x+2 y-z=0 \\ y+5 z=-6\end{array}\right.$ B. $\left\{\begin{array}{r}x+4 y=6 \\ 4 x+2 y=1 \\ y+5 z=-6\end{array}\right.$ C. $\left\{\begin{array}{r}x+4 y=6 \\ 4 x+2 y-z=0 \\ y+5 z=-6\end{array}\right.$ D. $\left\{\begin{array}{r}x+4 y=6 \\ 4 x+2 y=z \\ x+5 y+6 z=0\end{array}\right.$ E. none of the given systems

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