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. "
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. "
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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.
"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76a38be8-a1f5-46f2-a405-6a748a1c86fe%2F612d3ce3-5aac-4436-a514-5a1e22d7ab6e%2Fgk6qcdu_processed.png&w=3840&q=75)
Transcribed Image Text: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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