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. $\left\{\begin{array}{rr}2 x+y= & -4 \\ -2 y+4 z= & 0 \\ 3 x-2 z= & -11\end{array}\right.$
Step 1
The system given is: \[ \begin{cases} 2x + y + 0z = -4 \\ 0x - 2y + 4z = 0 \\ 3x + 0y - 2z = -11 \end{cases} \] The corresponding augmented matrix is: \[ \begin{array}{ccc|c} 2 & 1 & 0 & -4 \\ 0 & -2 & 4 & 0 \\ 3 & 0 & -2 & -11 \end{array} \] Show more…
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