Linear AlgebraEasyRow Reduction & Rank

Row Reduction & Rank · Easy problem

The augmented matrix of a system in $x, y, z$ reduces to

\left(\begin{array}{ccc|c} 1 & 0 & 2 & 1 \\ 0 & 1 & -1 & 3 \\ 0 & 0 & 0 & c \end{array}\right).

For which value of $c$ does the system have a solution?