Determine if v is in the set spanned by the columns of B. B = 2-3 2 4-3 7 0 18 6-3 21 6 V= -3 3 18 9 ... Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. Vector v is not in the set spanned by the columns of B because the columns of B, b₁,b2, and b3 are linearly independent. OB. Vector v is in the set spanned by the columns of B because b₁ + OC. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix forme by writing B with a fourth column equal to v is b₂+ D3 = V. OD. 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
Section: Chapter Questions
Problem 1RQ
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Determine if v is in the set spanned by the columns of B.
B =
2-3 2
4
-3 7
6 0 18
6
3 21
V =
-3
3
18
9
Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.
OA. Vector v is not in the set spanned by the columns of B because the columns of B, b₁,b2, and b3 are linearly
independent.
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 reduced echelon form of the matrix formed
by writing B with a fourth column equal to v is
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. B = 2-3 2 4 -3 7 6 0 18 6 3 21 V = -3 3 18 9 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. Vector v is not in the set spanned by the columns of B because the columns of B, b₁,b2, and b3 are linearly independent. 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 reduced echelon form of the matrix formed by writing B with a fourth column equal to v is D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
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Given : B=2-324-3760186-321   , v=-33189

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