How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in R4? 2 4 -1 -2 -2 -2 A = - 4 6 - 12 5 - 10 How many rows of A contain a pivot position? A has rows which contain a pivot position. Does the equation Ax = b have a solution for each b in R“? А. Yes, because the reduced echelon form of A does not have a row of the formo ... 0 b with b nonzero. В. No, because each b in R4 is a linear combination of the columns of A. O C. Yes, because the columns of A do not span R*. D. No, because A does not have a pivot position in every row.
How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in R4? 2 4 -1 -2 -2 -2 A = - 4 6 - 12 5 - 10 How many rows of A contain a pivot position? A has rows which contain a pivot position. Does the equation Ax = b have a solution for each b in R“? А. Yes, because the reduced echelon form of A does not have a row of the formo ... 0 b with b nonzero. В. No, because each b in R4 is a linear combination of the columns of A. O C. Yes, because the columns of A do not span R*. D. No, because A does not have a pivot position in every row.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in R*?
2
4
- 1
6.
-2 -2
- 2
A =
- 4
- 12
2
5 - 10
How many rows of A contain a pivot position?
has
rows which contain a pivot position.
Does the equation Ax = b have a solution for each b in R*?
O A. Yes, because the reduced echelon form of A does not have a row of the form
0 b
with b nonzero.
О В.
No, because each b in R* is a linear combination of the columns of A.
C. Yes, because the columns of A do not span
R*.
O D. No, because A does not have a pivot position in every row.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f84b485-5d6d-484c-881f-5450394bcf53%2Fc48eca19-2b54-4c57-8aa1-44b4ededd5ea%2Fdshswfn_processed.png&w=3840&q=75)
Transcribed Image Text:How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in R*?
2
4
- 1
6.
-2 -2
- 2
A =
- 4
- 12
2
5 - 10
How many rows of A contain a pivot position?
has
rows which contain a pivot position.
Does the equation Ax = b have a solution for each b in R*?
O A. Yes, because the reduced echelon form of A does not have a row of the form
0 b
with b nonzero.
О В.
No, because each b in R* is a linear combination of the columns of A.
C. Yes, because the columns of A do not span
R*.
O D. No, because A does not have a pivot position in every row.
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