Answer
Inconsistent
No solution
Work Step by Step
We are given the reduced row echelon form of a system of linear equations:
$\begin{bmatrix}1&0&0&|&1\\0&1&0&|&2\\0&0&0&|&3\end{bmatrix}$
Write the system of equations corresponding to the given matrix:
$\begin{cases}
1x+0y+0z=1\\
0x+1y+0z=2\\
0x+0y+0z=3
\end{cases}$
$\begin{cases}
x=1\\
y=2\\
0=3
\end{cases}$
Because the reduced row echelon form has a row with only zeros at the left of the bar and a nonzero element at the right of the bar, the system is inconsistent, and it has no solution.
