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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.

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. 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.
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