Question

# The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y;x,y; o

Forms of linear equations

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use $$x,y;x,y;\ or\ x,y,z;x,y,z;\ or\ x_1,x_2,x_3,x_4$$ as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

$$\begin{bmatrix}1 & 0&2&|&-1 \\0 & 1&-4&|&-2\\0 &0 &0&|&-0\end{bmatrix}$$