I wanted to know that while performing the row operations, is it necessary to do it in a certain way. For example, where they have performed the row operation (R1 = R1- 4R2) in order to get 0 in place of 4. Can the row operation also be done as 4+(R3*R1) since this way also I am getting a 0 at the top.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 24RE
Question

I have a question. 

The Matrix problem is attached below. 

I wanted to know that while performing the row operations, is it necessary to do it in a certain way. For example, where they have performed the row operation (R1 = R1- 4R2) in order to get 0 in place of 4. Can the row operation also be done as 4+(R3*R1) since this way also I am getting a 0 at the top.

But with this operation, I will get different values for other columns and not as same as the website. I am just really confused. 

Swap the rows 1 and 2:
4 3 -2
1 5 -4
2 7 1 -2
1
Subtract row 1 multiplied by 2 from row 3: R3 = R3 – 2R¡.
%3D
1 4
3
-2
1
-4
0 -1 -5
2
Subtract row 2 multiplied by 4 from row 1: R1 = R1 – 4R2.
%3D
-
1
-17 14
1
5
-4
-1
-5
2
Add row 2 to row 3: R3 = R3 + R2.
Transcribed Image Text:Swap the rows 1 and 2: 4 3 -2 1 5 -4 2 7 1 -2 1 Subtract row 1 multiplied by 2 from row 3: R3 = R3 – 2R¡. %3D 1 4 3 -2 1 -4 0 -1 -5 2 Subtract row 2 multiplied by 4 from row 1: R1 = R1 – 4R2. %3D - 1 -17 14 1 5 -4 -1 -5 2 Add row 2 to row 3: R3 = R3 + R2.
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