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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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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.
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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