Question
In Problems 37-72, solve each system of equations using malrices (row operations). If the system has no solution, say that it is inconsistent. $\left\{\begin{array}{r}2 x+3 y-z-3 \\ x-y-z=0 \\ -x+y+z-0 \\ x+y+3 z-5\end{array}\right.$
Step 1
The system given is: \[ \begin{cases} 2x + 3y - z = 3 \\ x - y - z = 0 \\ -x + y + z = 0 \\ x + y + 3z = 5 \end{cases} \] This can be represented as an augmented matrix: \[ \begin{array}{cccc|c} 2 & 3 & -1 & 0 & 3 \\ 1 & -1 & -1 & 0 & 0 \\ -1 & 1 & 1 & 0 & 0 Show more…
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