The Matrix Is the Reduced Echelon Matrix for a System $$\left[ \begin{array} { r r r r | r } 1 & 0 & 0 & 0 & 0 \\0 & 1 & 0 & 0 & - 4 \\0 & 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 & - 1\end{array} \right]$$

Short Answer

The matrix is the reduced echelon matrix for a system with variables x 1 , x 2 , x 3 , and x 4 . Find the solution set of the system. $$\left[ \begin{array} { r r r r | r } 1 & 0 & 0 & 0 & 0 \\0 & 1 & 0 & 0 & - 4 \\0 & 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 & - 1\end{array} \right]$$ If a system is inconsistent, so indicate.