Consider the matrices 1 0 0 0 0 1 1 1 A 2 0 0 1 0 0 B = 0 0 1 1 1 0 0 0 1 18 5 1 -7 8 C = 0 0 1 0 0 Which one of the following statements is true? O a. A is in reduced row echelon form, but B and C are not O b. B is in reduced row echelon form, but A and C are not O c. Cis in reduced row echelon form, but A and B are not O d. A and B are in reduced row echelon form, but C is not e. B and C are in reduced row echelon form, but A is not O f. A and C are in reduced row echelon form, but B is not g. None of the matrices A, B, C are in reduced row echeclon form O h. A, B and C are all in reduced row echelon form II

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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Consider the matrices
1
0 0 01
1
1
1
A =
1
1
1
В —
1
1
18
5
1
-7
8
C =
1
Which one of the following statements is true?
a. A is in reduced row echelon form, but B and C are not
O b. B is in reduced row echelon form, but A and C are not
O c.
C is in reduced row echelon form, but A and B are not
O d. A andB are in reduced row echelon form, but C is not
е.
B and C are in reduced row echelon form, but A is not
O f.
A and C are in reduced row echelon form, but B is not
g. None of the matrices A, B, C are in reduced row echeclon form
O h. A, B and C are all in reduced row echelon form
Transcribed Image Text:Consider the matrices 1 0 0 01 1 1 1 A = 1 1 1 В — 1 1 18 5 1 -7 8 C = 1 Which one of the following statements is true? a. A is in reduced row echelon form, but B and C are not O b. B is in reduced row echelon form, but A and C are not O c. C is in reduced row echelon form, but A and B are not O d. A andB are in reduced row echelon form, but C is not е. B and C are in reduced row echelon form, but A is not O f. A and C are in reduced row echelon form, but B is not g. None of the matrices A, B, C are in reduced row echeclon form O h. A, B and C are all in reduced row echelon form
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