Bond Dunn
10/17/2024 · High School
Consider the system of linear equations \( \begin{array}{l}x+y-z=-2 \\ 3 x+2 y-z=3 \\ -x-y+2 z=-1\end{array} \) Write down the augmented matrix of the system. \( \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \\ 0 & 1 & -1 & 3 \\ 0 & 0 & 2 & -1\end{array}\right] \) None of the given options \( \left[\begin{array}{rrr|r|r}1 & 1 & -1 & 2 \\ 0 & 2 & -1 & 3 \\ 0 & 0 & 0 & -1\end{array}\right] \) \( \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \\ 3 & 2 & -1 & 3 \\ -1 & -1 & 2 & -1\end{array}\right] \)
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The correct augmented matrix is:
\( \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \\ 3 & 2 & -1 & 3 \\ -1 & -1 & 2 & -1\end{array}\right] \)
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