# Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [1 0 2 -1 0 1 -4 -2 0 0 0 0]

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

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Inconsistent
We can see bottom line of the system does not have any solution that is why system of equation is inconsistent.