Linear Algebra and Its Applications (5th Edition)

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.