The system of linear equations x1+2x2+x3=3,2x1+3x2+x3=3 and 3x1+5x2+2x3=1 has

A  B=1      2       1      32    3        1        33      5       2      1              R2→R2−2R1  ,  R3→R3−3R1          ~1          2           1                  30   −1         −1        −30    −1     −1              −8                  R3→R3−R2          ~1          2            1               30   −1     −1       −30         0            0         −5ρ(A)=2    ρ(AB)=3ρ(A)≠ρ(AB)no solution