## Elementary Linear Algebra 7th Edition

The system associated with this matrix is \begin{align*} x_1+2x_2\qquad+x_4=&3\\ x_2+3x_3\qquad=&1\\ x_3+2x_4=&0\\ 0=&2 \end{align*} Since we know that in fact $0\neq2$ we see that this system is inconsistent and cannot have any solutions.