The system of linear equations x+y+z=2,  2x+y−z=3,  3x+2y+kz=4 has a unique solution if  k is

Augmented matrix is 111221-1332K4~R3−3R1R2−2R1, 11120-1-3-10-1k-3-2                                                                          ~R3−R211120-1-3-100k-1System of equations has a unique solution⇒k≠0,solution set=R−{0}