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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? 1 1 4 -2 -2 - 4 A = - 2 0 -5 10 2 -1 1 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 reduced echelon form of A does not have a row of the form o .ob]with b nonzero. B. Yes, because the columns of A do not span R4. OC. No, because each b in R4 is a linear combination of the columns of A. 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? 1 1 4 -2 -2 - 4 A = - 2 0 -5 10 2 -1 1 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 reduced echelon form of A does not have a row of the form o .ob]with b nonzero. B. Yes, because the columns of A do not span R4. OC. No, because each b in R4 is a linear combination of the columns of A. O D. No, because A does not have a pivot position in every row.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 30HP
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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? 1 1 4 -2 -2 - 4 A = - 2 0 -5 10 2 -1 1 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 reduced echelon form of A does not have a row of the form o .ob]with b nonzero. B. Yes, because the columns of A do not span R4. OC. No, because each b in R4 is a linear combination of the columns of A. 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? 1 1 4 -2 -2 - 4 A = - 2 0 -5 10 2 -1 1 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 reduced echelon form of A does not have a row of the form o .ob]with b nonzero. B. Yes, because the columns of A do not span R4. OC. No, because each b in R4 is a linear combination of the columns of A. O D. No, because A does not have a pivot position in every row.
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