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Determine if v is in the set spanned by the columns of B. B= 3-3 2 9 7 8 9 3 14 6 -2 12 V = - 11 21 14 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is in the set spanned by the columns of B because the columns of B span Rª. b₂ + b3 = v. O B. 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 formed by writing B with a fourth column equal to v is O D. Vector v is not in the set spanned by the columns of B because the columns of B, b₁,b2₂, and b3 are linearly independent.

Determine if v is in the set spanned by the columns of B. B= 3-3 2 9 7 8 9 3 14 6 -2 12 V = - 11 21 14 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is in the set spanned by the columns of B because the columns of B span Rª. b₂ + b3 = v. O B. 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 formed by writing B with a fourth column equal to v is O D. Vector v is not in the set spanned by the columns of B because the columns of B, b₁,b2₂, and b3 are linearly independent.

Advanced Engineering Mathematics
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 = 3 - 3 2 9 7 8 9 -3 14 6 -2 12 V= - 9 - 11 21 14 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is in the set spanned by the columns of B because the columns of B span R4. b₁ + b₂ + b3 = V. O B. Vector v is in the set spanned by the columns of B because 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 O 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. B = 3 - 3 2 9 7 8 9 -3 14 6 -2 12 V= - 9 - 11 21 14 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is in the set spanned by the columns of B because the columns of B span R4. b₁ + b₂ + b3 = V. O B. Vector v is in the set spanned by the columns of B because 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 O 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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