Determine if v is in the set spanned by the columns of B. 2-3 2 4-3 7 5 B= V= 4 3 16 35 4 3 19 35 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. A. Vector v is in the set spanned by the columns of B because the columns of B span R4. ○ B. Vector v is in the set spanned by the columns of B because b₁ + b₂+ b₁₂ = v. OC. 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 not in the set spanned by the columns of B because the columns of B, b₁, b₂, and b3 are linearly independent.
Determine if v is in the set spanned by the columns of B. 2-3 2 4-3 7 5 B= V= 4 3 16 35 4 3 19 35 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. A. Vector v is in the set spanned by the columns of B because the columns of B span R4. ○ B. Vector v is in the set spanned by the columns of B because b₁ + b₂+ b₁₂ = v. OC. 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 not in the set spanned by the columns of B because the columns of B, b₁, b₂, and b3 are linearly independent.
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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Transcribed Image Text:Determine if v is in the set spanned by the columns of B.
2-3 2
4-3 7
5
B=
V=
4 3 16
35
4
3 19
35
Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.
A. Vector v is in the set spanned by the columns of B because the columns of B span R4.
○ B. Vector v is in the set spanned by the columns of B because b₁ + b₂+ b₁₂ = v.
OC. 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 not in the set spanned by the columns of B because the columns of B, b₁, b₂, and b3 are linearly independent.
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