Answer
Consistent
Solution set: $\{(1,2,3,0)\}$
Work Step by Step
We are given the reduced row echelon form of a system of linear equations:
$\begin{bmatrix}1&0&0&0&|&1\\0&1&0&0&|&2\\0&0&1&0&|&3\\0&0&0&1&|&0\end{bmatrix}$
Write the system of equations corresponding to the given matrix:
$\begin{cases}
1x_1+0x_2+0x_3+0x_4=1\\
0x_1+1x_2+0x_3+0x_4=2\\
0x_1+0x_2+1x_3+0x_4=3\\
0x_1+0x_2+0x_3+1x_4=0
\end{cases}$
$\begin{cases}
x_1=1\\
x_2=2\\
x_3=3\\
x_4=0
\end{cases}$
The system is consistent, and its solution set is:
$\{(1,2,3,0)\}$
