Statement - I : The system of equations x+y+z=6,x−y+z=2,2x−y+3z=9 has unique solution statement -II : The system of equations x+y+z=1,2x+y+z=2,x+2y+2z=1 has no solution

Statement : I[AB]=11161−1122−139R2−R1R3−2R1~11160−20−40−31−3~11160−20−400262R3−3R2⇒ unique solutionsStatement : II Since, [AB]=111121121221   R2→R2−2R1R3→R3−R1 ~  11110−1−100110R3→R3+R2  ~  11110−1−100000Rank AB= Rank A<3, Infinitely solutions