Let A = -6 18 - 2 6 and w= 3 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. A. 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 = 0. span R². B. The vector w is in Col(A) because the columns of A C. The vector w is not in Col(A) because w is a linear combination of the columns of A. D. The vector w is in Col(A) because Ax = w is a consistent system. One solution is x=

Let A = -6 18 - 2 6 and w= 3 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. A. 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 = 0. span R². B. The vector w is in Col(A) because the columns of A C. The vector w is not in Col(A) because w is a linear combination of the columns of A. D. 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

Problem 1RQ

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Question

Let A =
-6 18
- 2 6
and w=
3
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.
A. 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 = 0.
span R².
B. The vector w is in Col(A) because the columns of A
C.
The vector w is not in Col(A) because w is a linear combination of the
columns of A.
D. The vector w is in Col(A) because Ax = w is a consistent system. One
solution is x=

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Follow-up Questions

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Follow-up Question

Let A =
- 6 18
- 2 6
and w=
3
1
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.
A. 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=
B. The vector w is in Col(A) because the columns of A span R².
C. The vector w is not in Col(A) because w is a linear combination of the columns of A.
D.
The vector w is in Col(A) because Ax = w is a consistent system. One solution is x =
1
B.
The vector w is not in Nul(A) because Aw =
1
-|~
2
Is w in Nul(A)? Select the correct choice below and fill in the answer box to complete your choice.
(Simplify your answer.)
A. The vector w is in Nul(A) because Aw=

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