Let A = 16 64 - 4 16 and w= Determine if w is in Col(A). Is w in Nul(A)? Determine if w is in Col(A). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The vector w is in Col(A) because the columns of A span R². O B. The vector w is not in Col(A) because w is a linear combination of the columns of A. O C. The vector w is not in Col(A) because Ax=w is an inconsistent system. One row of the reduced echelon form of the augmented matrix [A 0] has the form [0 0 b] where b = OD. The vector w is in Col(A) because Ax=w is a consistent system. One solution is x =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let A =
[
16 64
- 4 16
-8
and w=
Determine if w is in Col(A). Is w in Nul(A)?
Determine if w is in Col(A). Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
O A. The vector w is in Col(A) because the columns of A span R².
O B. The vector w is not in Col(A) because w is a linear combination of the columns of A.
O C.
The vector w is not in Col(A) because Ax=w is an inconsistent system. One row of the reduced echelon
form of the augmented matrix [A 0] has the form [00 b] where b =
O D. The vector w is in Col(A) because Ax=w is a consistent system. One solution is x=
Transcribed Image Text:Let A = [ 16 64 - 4 16 -8 and w= Determine if w is in Col(A). Is w in Nul(A)? Determine if w is in Col(A). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The vector w is in Col(A) because the columns of A span R². O B. The vector w is not in Col(A) because w is a linear combination of the columns of A. O C. The vector w is not in Col(A) because Ax=w is an inconsistent system. One row of the reduced echelon form of the augmented matrix [A 0] has the form [00 b] where b = O D. The vector w is in Col(A) because Ax=w is a consistent system. One solution is x=
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