Determine if v is in the set spanned by the columns of B. 3 - 3 2 6 -4 14 v = 22 В l 6 -2 11 9 -5 19 25 .... 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 reduced echelon form of the matrix formed by writing B with a fourth column equal to v O B. Vector v is in the set spanned by the columns of B because b, + b2 + b3 = v. O C. Vector v is not in the set spanned by the columns of B because the columns of B, b1, b2, and bz are linearly independent. O D. Vector v is in the set spanned by the columns of B because the columns of B span R“.

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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Determine if v is in the set spanned by the columns of B.
2
3
- 4
6.
14
B =
V=
6 -2 11
22
9.
- 5 19
25
...
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 reduced echelon form of the matrix formed by writing B with a fourth column equal to v is
B. Vector v is in the set spanned by the columns of B because
b1
b2 +
b3 = v.
C. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b2, and b3 are linearly independent.
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. 2 3 - 4 6. 14 B = V= 6 -2 11 22 9. - 5 19 25 ... 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 reduced echelon form of the matrix formed by writing B with a fourth column equal to v is B. Vector v is in the set spanned by the columns of B because b1 b2 + b3 = v. C. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b2, and b3 are linearly independent. D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
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