Determine if v is in the set spanned by the columns of B. 3-3 2 9-6 9 15 B= v= 6 3 15 9-3 16 45 30 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. 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 not in the set spanned by the columns of B because the columns of B, b₁, b₂, and b3 are linearly independent. OC. Vector v is in the set spanned by the columns of B because ☐ b₁ + b₂+ b₁₂ = v. OD. Vector v is in the set spanned by the columns of B because the columns of B span R4.
Determine if v is in the set spanned by the columns of B. 3-3 2 9-6 9 15 B= v= 6 3 15 9-3 16 45 30 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. 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 not in the set spanned by the columns of B because the columns of B, b₁, b₂, and b3 are linearly independent. OC. Vector v is in the set spanned by the columns of B because ☐ b₁ + b₂+ b₁₂ = v. OD. Vector v is in the set spanned by the columns of B because the columns of B span R4.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
Related questions
Question
Transcribed Image Text:Determine if v is in the set spanned by the columns of B.
3-3 2
9-6 9
15
B=
v=
6 3 15
9-3 16
45
30
Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.
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 not in the set spanned by the columns of B because the columns of B, b₁, b₂, and b3 are linearly independent.
OC. Vector v is in the set spanned by the columns of B because ☐ b₁ + b₂+ b₁₂ = v.
OD. Vector v is in the set spanned by the columns of B because the columns of B span R4.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
