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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
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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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.
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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