Let A= -12 48 -3 12 -0 and wa Determine if w is in Col(A) Is w in Nul(A)? Determine if wis in Col(A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. The vector w is not in Col(A) because Axw is an inconsistent system. One row of the reduced echelon form of the augmented matrix [A 03 has the form (0 0 b) where b OB. The vector w is in Col(A) because the columns of A span R² C. The vector w is in Col(A) because Axw is a consistent system. One solution is x- OD. The vector w is not in Col(A) because w is a linear combination of the columns of A 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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Question
Let A=
-12 48
-3 12
-0
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.
OA. 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 03 has the form (0 0 b) where b
OB. The vector w is in Col(A) because the columns of A span R²
C. The vector w is in Col(A) because Axw is a consistent system. One solution is x-
OD. The vector w is not in Col(A) because w is a linear combination of the columns of A
Transcribed Image Text:Let A= -12 48 -3 12 -0 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. OA. 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 03 has the form (0 0 b) where b OB. The vector w is in Col(A) because the columns of A span R² C. The vector w is in Col(A) because Axw is a consistent system. One solution is x- OD. The vector w is not in Col(A) because w is a linear combination of the columns of A
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