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    1. R1−R2→R1,R3+3R2→R3R1−R2→R1,R3+3R2→R3R_1 - R_2 \rightarrow R_1, \;\; R_3 + 3R_2 \rightarrow R_3\nonumber ⎛⎝⎜⎜1001131−1−12−1−1⎞⎠⎟⎟

      Isn't R3 + 3R2 ->R3 going to give you a 6 in the R3C2 position? Someone, please help explain...