Which of the following are valid elementary row operation, and if the operation is valid, which type of operation is it? 1. Multiply row 2 by –5. Add 4 times row 3 to row 6. а. b. Add 5 to every entry in row 2. Divide row 3 by 7. с. d. Exchange row 2 and row 5. Replace row 5 with row 2. е. f. g. Subtract 3 times row 5 from row 2. h. Add 4 times row 2 and 6 times row 3 to row 6. i. Exchange column 2 and column 4. j. Replace row 3 with 2 times row 4 minus row 3. k. Replace row 3 with row 3 minus 2 times row 4. 1. Replace row 2 with row 4, row 4 with row 5, and row 5 with the original row 2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Which of the following are valid elementary row operation, and if the operation is valid,
which type of operation is it?
1.
Multiply row 2 by –5.
а.
b.
Add 4 times row 3 to row 6.
с.
Add 5 to every entry in row 2.
d.
Divide row 3 by 7.
е.
Exchange row 2 and row 5.
f.
Replace row 5 with row 2.
g.
Subtract 3 times row 5 from row 2.
h.
Add 4 times row 2 and 6 times row 3 to row 6.
i.
Exchange column 2 and column 4.
j.
Replace row 3 with 2 times row 4 minus row 3.
Replace row 3 with row 3 minus 2 times row 4.
Replace row 2 with row 4, row 4 with row 5, and row 5 with the original row 2.
k.
1.
Transcribed Image Text:Which of the following are valid elementary row operation, and if the operation is valid, which type of operation is it? 1. Multiply row 2 by –5. а. b. Add 4 times row 3 to row 6. с. Add 5 to every entry in row 2. d. Divide row 3 by 7. е. Exchange row 2 and row 5. f. Replace row 5 with row 2. g. Subtract 3 times row 5 from row 2. h. Add 4 times row 2 and 6 times row 3 to row 6. i. Exchange column 2 and column 4. j. Replace row 3 with 2 times row 4 minus row 3. Replace row 3 with row 3 minus 2 times row 4. Replace row 2 with row 4, row 4 with row 5, and row 5 with the original row 2. k. 1.
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