The system of equations 2x+y−z=7 ,x−3y+2z=1  ,x+4y−3z=5  is

[AB]=21−11−3214−3     715~21−10−7507−5     7−53 2R2−R12R3−R1 ~21−10−75000     7−5−2 R3+R2 Rank (A) = 2, Rank of (AB) =3Inconsistant