Write the system of equations corresponding to the augmented matrix. Then perform the row operations R2 = - 2r, +r2 and R3 = 5r, +r3 on the given augmented matrix. -7 5 - 8 2 - 5 4 - 7 -5 -7 5 8 Which of the following is the system of equations corresponding to the augmented matrix? A. B. X- 7y + 5z - 8 = 2х - 5y + 4z -7 x- 7y +5 - 8 %3D 2х - 5y +4 %3 - 7 %3D - 5х - 7у +5 - 5x - 7y + 5z +8 = x- 7y + 5z = - 8 x- 7y + 5z = - 8w 2х - 5y +4z 2х - 5y + 4z - 7w %3D - 5х - 7у + 5z 8. - 5х -7у+ 5z %3 8w %3D Perform the row operations R2 = - 2r, +r2 and R3 = 5r, + r3 on the original matrix given in the problem, and enter the resulting matrix below. (Simplify your answer.) II II II II

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 10CT
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Question
Write the system of equations corresponding to the augmented matrix. Then perform the row operations R2 = - 2r, +r2 and R3 = 5r, +r3 on the given augmented matrix.
-7 5
- 8
2 - 5 4
- 7
-5 -7 5
8
Which of the following is the system of equations corresponding to the augmented matrix?
A.
B.
X- 7y + 5z - 8 =
2х - 5y + 4z -7
x- 7y +5
- 8
%3D
2х - 5y +4 %3
- 7
%3D
- 5х - 7у +5
- 5x - 7y + 5z +8 =
x- 7y + 5z =
- 8
x- 7y + 5z =
- 8w
2х - 5y +4z
2х - 5y + 4z
- 7w
%3D
- 5х - 7у + 5z
8.
- 5х -7у+ 5z %3
8w
%3D
Perform the row operations R2 = - 2r, +r2 and R3 = 5r, + r3 on the original matrix given in the problem, and enter the resulting matrix below.
(Simplify your answer.)
II
II
II
II
Transcribed Image Text:Write the system of equations corresponding to the augmented matrix. Then perform the row operations R2 = - 2r, +r2 and R3 = 5r, +r3 on the given augmented matrix. -7 5 - 8 2 - 5 4 - 7 -5 -7 5 8 Which of the following is the system of equations corresponding to the augmented matrix? A. B. X- 7y + 5z - 8 = 2х - 5y + 4z -7 x- 7y +5 - 8 %3D 2х - 5y +4 %3 - 7 %3D - 5х - 7у +5 - 5x - 7y + 5z +8 = x- 7y + 5z = - 8 x- 7y + 5z = - 8w 2х - 5y +4z 2х - 5y + 4z - 7w %3D - 5х - 7у + 5z 8. - 5х -7у+ 5z %3 8w %3D Perform the row operations R2 = - 2r, +r2 and R3 = 5r, + r3 on the original matrix given in the problem, and enter the resulting matrix below. (Simplify your answer.) II II II II
Expert Solution
Step 1

Given augmented matrix is

Algebra homework question answer, step 1, image 1

Let coefficient matrix be

Algebra homework question answer, step 1, image 2

Step 2

Then system of equation corresponding to given augmented matrix is

Algebra homework question answer, step 2, image 1

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