in this system of equations. it is inconsistent because the 3rd equation has -5 equal to nothing?

[ 1 2 -1| 2 ]
[ 0 1 3 | 4 ]
[ 0 0 0 | -5]

which also means that there is no general solution?

Question

in this system of equations. it is inconsistent because the 3rd equation has -5 equal to nothing?

[ 1 2 -1|  2 ]
[ 0 1  3 |  4 ]
[ 0 0  0 | -5]

which also means that there is no general solution?

jim_thompson5910 · Answer

yep, the last row translates to the equation 0x + 0y + 0z = -5 or just 0 = -5 which is always false

so there are no solutions and this system is inconsistent

anonymous · Answer

great thats what I thought thanks!

jim_thompson5910 · Answer

you're welcome