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. $$ \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \ 0 & 1 & -1 & 3 \ 0 & 0 & 2 & -1\end{array} ight] $$ None of the given options $$ \left[\begin{array}{rrr|r|r}1 & 1 & -1 & 2 \ 0 & 2 & -1 & 3 \ 0 & 0 & 0 & -1\end{array} ight] $$ $$ \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \ 3 & 2 & -1 & 3 \ -1 & -1 & 2 & -1\end{array} ight] $$

Question

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. $$ \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \ 0 & 1 & -1 & 3 \ 0 & 0 & 2 & -1\end{array}ight] $$ None of the given options $$ \left[\begin{array}{rrr|r|r}1 & 1 & -1 & 2 \ 0 & 2 & -1 & 3 \ 0 & 0 & 0 & -1\end{array}ight] $$ $$ \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \ 3 & 2 & -1 & 3 \ -1 & -1 & 2 & -1\end{array}ight] $$

Martinez Love · Accepted Answer

The correct augmented matrix is: $$ \left[\begin{array}{rrr|r}1 & 1 & -1 & 2 \ 3 & 2 & -1 & 3 \ -1 & -1 & 2 & -1\end{array}ight] $$

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