Let b = why not? 1 -1 3 and let A be the matrix 138 4 102-4 012 3 -220-2 Is b in the range of the linear transformation x+Ax? Why or Is b in the range of the linear transformation? Why or why not? O A. Yes, b is in the range of the linear transformation because the system represented by the appropriate augmented matrix is inconsistent. B. Yes, b is in the range of the linear transformation because the system represented by the appropriate augmented matrix is consistent. O C. No, b is not in the range of the linear transformation because the system represented by the appropriate augmented matrix is consistent. O D. No, b is not in the range of the linear transformation because the system represented by the appropriate augmented matrix is inconsistent.

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
Let b =
why not?
1
-1
3
and let A be the matrix
138 4
102-4
012 3
-220-2
Is b in the range of the linear transformation x+Ax? Why or
Is b in the range of the linear transformation? Why or why not?
O A. Yes, b is in the range of the linear transformation because the system represented by the appropriate
augmented matrix is inconsistent.
B. Yes, b is in the range of the linear transformation because the system represented by the appropriate
augmented matrix is consistent.
O C.
No, b is not in the range of the linear transformation because the system represented by the appropriate
augmented matrix is consistent.
O D. No, b is not in the range of the linear transformation because the system represented by the appropriate
augmented matrix is inconsistent.
Transcribed Image Text:Let b = why not? 1 -1 3 and let A be the matrix 138 4 102-4 012 3 -220-2 Is b in the range of the linear transformation x+Ax? Why or Is b in the range of the linear transformation? Why or why not? O A. Yes, b is in the range of the linear transformation because the system represented by the appropriate augmented matrix is inconsistent. B. Yes, b is in the range of the linear transformation because the system represented by the appropriate augmented matrix is consistent. O C. No, b is not in the range of the linear transformation because the system represented by the appropriate augmented matrix is consistent. O D. No, b is not in the range of the linear transformation because the system represented by the appropriate augmented matrix is inconsistent.
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