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Determine if v is in the set spanned by the columns of B. B= 3-3 2 9-79 6 0 15 9 -5 16 V= - 12 - 20 24 -4 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is not in the set spanned by the columns of B because the columns of B, b₁,b2, and b3 are linea independent.

Determine if v is in the set spanned by the columns of B. B= 3-3 2 9-79 6 0 15 9 -5 16 V= - 12 - 20 24 -4 Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. O A. Vector v is not in the set spanned by the columns of B because the columns of B, b₁,b2, and b3 are linea 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 9 6 0 15 9 -5 16 V = - 12 - 20 24 -4 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 columns of B, b₁, b₂, and b3 are linearly independent. Bª. C. 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 in the set spanned by the columns of B because B. Vector v is in the set spanned by the columns of B because the columns of B span b₁ + b₂ + b3 = v.
Transcribed Image Text:Determine if v is in the set spanned by the columns of B. B = 3 - 3 2 9 -7 9 6 0 15 9 -5 16 V = - 12 - 20 24 -4 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 columns of B, b₁, b₂, and b3 are linearly independent. Bª. C. 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 in the set spanned by the columns of B because B. Vector v is in the set spanned by the columns of B because the columns of B span b₁ + b₂ + b3 = v.
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