Which of the following are the coefficients matrix and reduced row echelon form of the augmented matrix of the system of the linear equations x- 3y = z, 3– 2y+ 2x = 1, y- 2z+1= 0, respectively?
Which of the following are the coefficients matrix and reduced row echelon form of the augmented matrix of the system of the linear equations x- 3y = z, 3– 2y+ 2x = 1, y- 2z+1= 0, respectively?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 83E: Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.
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Question
![Which of the following are the coefficients matrix and reduced row echelon form of the augmented
matrix of the system of the linear equationsx- 3y = z, 3– 2y + 2r = 1, y– 2z+1= 0, respectively?
-3 -1 10 0 -5
1
(а) |-2 2
,0 10-2
-2
001-1
[1
10 0 -
1 -3 -1
(b) 2 -2
0,0 10 -3
-2
0 0 1 !
-1 3
10 0
(c)-2 20
010
1 -2
0 0 1
-3 -1 1
100
(d) -2
0 10 -
1
-2 0
0 0 1
1.
-2 0
100 -
(e)
-3 -1 1
0 10 -
-2
0 0 1
2.
1.
1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22b34120-abfb-4b9a-85ea-bf41fdf9a8ce%2F1a9fc97c-3107-49ca-9074-0e091b3abff9%2Fm9r1qxq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following are the coefficients matrix and reduced row echelon form of the augmented
matrix of the system of the linear equationsx- 3y = z, 3– 2y + 2r = 1, y– 2z+1= 0, respectively?
-3 -1 10 0 -5
1
(а) |-2 2
,0 10-2
-2
001-1
[1
10 0 -
1 -3 -1
(b) 2 -2
0,0 10 -3
-2
0 0 1 !
-1 3
10 0
(c)-2 20
010
1 -2
0 0 1
-3 -1 1
100
(d) -2
0 10 -
1
-2 0
0 0 1
1.
-2 0
100 -
(e)
-3 -1 1
0 10 -
-2
0 0 1
2.
1.
1.
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