Students frequently perform the following type of calculation to introduce a zero into a matrix. 31 3R₂-2R₁ 31 [24] 0 10 However, 3R₂ - 2R₁ is not an elementary row operation. Why not? O 3R₂ - 2R₁ is not an elementary row operation since the coefficient of R₂ is -2. 3R₂ - 2R₁ is not an elementary row operation since it does not include the interchanging of two rows. 3R₂ - 2R₁ is not an elementary row operation since the coefficient of R₂ is 3. 3R₂ - 2R₁ is not an elementary row operation since the coefficient of R₁₂ is 2. 3R₂ -2R₁ is not an elementary row operation since the coefficient of R₁ is -3. Show how to achieve the same result using elementary row operations. - First perform the elementary row operation R₂ -₁, R₁, then perform 2R₂. 3 Perform the elementary row operation R₂ - 3₁. O First perform the elementary row operation R₂ - 3 O Perform the elementary row operation R₂ - ³₁. 2 First perform the elementary row operation R₂ - 2R₁, then perform 3R2. ₁, then perform 3R₂.

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