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-1 D 0 Why or why not? Let b = and let A be the matrix 1 0 5 -5 1-3 5 2-4 4 - 4 - 3 Is b in the range of the linear transformation x → Ax? Is b in the range of the linear transformation? Why or why not? O A. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent. O B. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O C. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O D. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent.

-1 D 0 Why or why not? Let b = and let A be the matrix 1 0 5 -5 1-3 5 2-4 4 - 4 - 3 Is b in the range of the linear transformation x → Ax? Is b in the range of the linear transformation? Why or why not? O A. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent. O B. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O C. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O D. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent.

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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-1 D 0 Why or why not? Let b = and let A be the matrix 1 0 5 -5 1-3 5 2-4 4 - 4 - 3 Is b in the range of the linear transformation x → Ax? Is b in the range of the linear transformation? Why or why not? O A. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent. O B. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O C. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O D. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent.
Transcribed Image Text:-1 D 0 Why or why not? Let b = and let A be the matrix 1 0 5 -5 1-3 5 2-4 4 - 4 - 3 Is b in the range of the linear transformation x → Ax? Is b in the range of the linear transformation? Why or why not? O A. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent. O B. No, b is not in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O C. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is inconsistent. O D. Yes, b is in the range of the linear transformation because the system represented by the augmented matrix [A b] is consistent.
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