##### Itemf

Suppose we have a linear system for which the coefficient matrix has the following reduced row echelon form.

\begin{equation*} \left[ \begin{array}{rrrrr} 1 \amp 0 \amp 0 \amp 0 \amp -1 \\ 0 \amp 1 \amp 0 \amp 0 \amp 2 \\ 0 \amp 0 \amp 1 \amp 0 \amp 0 \\ 0 \amp 0 \amp 0 \amp 1 \amp -3 \\ \end{array} \right] \end{equation*}

What can you say about the consistency of the linear system?

in-context