Is w in Nul(A)? Select the correct choice below and fill in the answer box to complete your choice. O A. No, because Aw = OB. Yes, because Aw=

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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C is the answer to the first part

please solve the second part

Let A =
-8 -2 -26
4
6
18
0
6
D
and w=
3
1 Determine if w is in Col(A). Is w in Nul(A)?
1
Determine if w is in Col(A). Choose the correct answer below.
OA. No, because Aw=
OB. Yes, because Aw=
A. The vector w is not in Col(A) because Ax = w is an inconsistent system.
B. The vector w is in Col(A) because the columns of A span R³
C. The vector w is in Col(A) because Ax = w is a consistent system.
OD. The vector w is not in Col(A) because w is a linear combination of the columns of A.
Is w in Nul(A)? Select the correct choice below and fill in the answer box to complete your choice.
Transcribed Image Text:Let A = -8 -2 -26 4 6 18 0 6 D and w= 3 1 Determine if w is in Col(A). Is w in Nul(A)? 1 Determine if w is in Col(A). Choose the correct answer below. OA. No, because Aw= OB. Yes, because Aw= A. The vector w is not in Col(A) because Ax = w is an inconsistent system. B. The vector w is in Col(A) because the columns of A span R³ C. The vector w is in Col(A) because Ax = w is a consistent system. OD. The vector w is not in Col(A) because w is a linear combination of the columns of A. Is w in Nul(A)? Select the correct choice below and fill in the answer box to complete your choice.
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