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A sequence of elementary row operations transforms the matrix [a b c d e f ] to the matrix[d+2a e+2b f+2c a b c ]Which one of the following sequences could have this effect?1.First R1↦R1+2R2; then R1↔R2.2.First R1↔R2; then R1↦R1−2R23.First R1↦R2+2R1; then R1↔R2.4.First R1↦2R1; thenR1↔R2.

Question

A sequence of elementary row operations transforms the matrix [a b c d e f ] to the matrix[d+2a e+2b f+2c a b c ]Which one of the following sequences could have this effect?1.First R1↦R1+2R2; then R1↔R2.2.First R1↔R2; then R1↦R1−2R23.First R1↦R2+2R1; then R1↔R2.4.First R1↦2R1; thenR1↔R2.

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