Answer
Row three has no solution therefore the matrix is inconsistent.
Work Step by Step
The long form of row three in the given matrix is expressed by the following:
$0x_{1} + 0x_{2} + 0x_{3} = 1 $
For any values of $x_{1},x_{2},x_{3}$, the following result occurs:
$0\times x_{1} + 0\times x_{2} + 0\times x_{3} = 1 $
$0+0+0=1$
$0=1$, which is false
As it is not possible to find any values to make the previous statement true, there is no solution thus making the system inconsistent.
