Determine if v is in the set spanned by the columns of B. 3 -3 2 - 6 9 -7 8 -8 B = 6 - 2 10 V = 8 6. 0 16 18 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is not in the set spanned by the columns of B because the columns of B, b, b2, and bz are linearly independent. O B. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix formed by writing B with a fourth column equal to v is O C. Vector v is in the set spanned by the columns of B because b, + D3 = V O D. Vector v is in the set spanned by the columns of B because the columns of B span R4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine if v is in the set spanned by the columns of B.
3 - 3
- 6
9 -7 8
- 8
B =
V =
6 -2 10
8
6.
O 16
18
Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.
O A. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b2, and bz are linearly independent.
O B. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix formed by writing B with a fourth column equal to v
is
O C. Vector v is in the set spanned by the columns of B because b, +
D3 = V
O D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
Transcribed Image Text:Determine if v is in the set spanned by the columns of B. 3 - 3 - 6 9 -7 8 - 8 B = V = 6 -2 10 8 6. O 16 18 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b2, and bz are linearly independent. O B. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix formed by writing B with a fourth column equal to v is O C. Vector v is in the set spanned by the columns of B because b, + D3 = V O D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
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