Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Determine if v is in the set spanned by the columns of B. 33 2 -6 6 -4 6 -2 B= v= 9-3 15 6 -2 14 12 8 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 in the set spanned by the columns of B because b₁ + b 2 + b = v. ○ C. 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. D. 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. 33 2 -6 6 -4 6 -2 B= v= 9-3 15 6 -2 14 12 8 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 in the set spanned by the columns of B because b₁ + b 2 + b = v. ○ C. 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. D. Vector v is in the set spanned by the columns of B because the columns of B span R4.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
See similar textbooks
icon
Related questions
Question

Please solve and show steps and solution.

Determine if v is in the set spanned by the columns of B. 33 2 -6 6 -4 6 -2 B= v= 9-3 15 6 -2 14 12 8 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 in the set spanned by the columns of B because b₁ + b 2 + b = v. ○ C. 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. 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. 33 2 -6 6 -4 6 -2 B= v= 9-3 15 6 -2 14 12 8 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 in the set spanned by the columns of B because b₁ + b 2 + b = v. ○ C. 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. D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS