How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in R4? A = 2 -2 0 4 -9 0 -2 4 4 -6 15 - 12 - 9 201 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 R4? O A. Yes, because the columns of A do not span R4. B. No, because each b in R4 is a linear combination of the columns of A. OC. Yes, because the reduced echelon form of A does not have a row of the form [0... 0 b ] with b nonzer O 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? A = 2 -2 0 4 -9 0 -2 4 4 -6 15 - 12 - 9 201 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 R4? O A. Yes, because the columns of A do not span R4. B. No, because each b in R4 is a linear combination of the columns of A. OC. Yes, because the reduced echelon form of A does not have a row of the form [0... 0 b ] with b nonzer O 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
Related questions
Question
![How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in R4?
2
4 - 9
-2 - 2
4
4
A =
0 - 6
15 - 12
2
- 9
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 R4?
O A. Yes, because the columns of A do not span R4.
O B. No, because each b in R4 is a linear combination of the columns of A.
O C. Yes, because the reduced echelon form of A does not have a row of the form 0
0 b with b nonzero.
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%2F278e8882-6aa2-410d-84f8-f8fd420e5b46%2F64bb7d74-dbf4-4a71-80af-3750700ad35f%2Fnz0ojk_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 R4?
2
4 - 9
-2 - 2
4
4
A =
0 - 6
15 - 12
2
- 9
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 R4?
O A. Yes, because the columns of A do not span R4.
O B. No, because each b in R4 is a linear combination of the columns of A.
O C. Yes, because the reduced echelon form of A does not have a row of the form 0
0 b with b nonzero.
O D. No, because A does not have a pivot position in every row.
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