Students frequently perform the following type of calculation to introduce a zero into a matrix. 4R₂ - 3R₁ [41] 3 6 4 1 0 21 However, 4R₂ - 3R₁ is not an elementary row operation. Why not? 4R₂ - 3R₁ is not an elementary row operation since it does not include the interchanging of two rows. elementary row operation since the coefficient of R₁ is -4. 1 O 4R₂ - 3R₂ is not an 4R₂ - 3R, is not an 4R2 - 3R₁ is not an elementary row operation since the coefficient of R₂ is -3. elementary row operation since the coefficient of R₁ is 3. 4R₂ - 3R, is not an elementary row operation since the coefficient of R₂ is 4. Show how to achieve the same result using elementary row operations. O Perform the elementary row operation R₂ 3 4 First perform the elementary row operation R₂-R₁, then perform 3R. O First perform the elementary row operation R₂ - 3R₁, then perform 4R₂. O First perform the elementary row operation R₂ then perform 4R₂- 3 4 Perform the elementary row operation R₂ -₁. "

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