Determine if v is in the set spanned by the columns of B. B= 2-3 2 4-3 7 0 17 -3 16 6 6 V= 24 9 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 reduced echelon form of the matrix formed by writing B with a fourth column equal to v is OB. 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 + b3 = v. O 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. B= 2-3 2 4-3 7 0 17 -3 16 6 6 V= 24 9 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 reduced echelon form of the matrix formed by writing B with a fourth column equal to v is OB. 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 + b3 = v. O D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
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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Transcribed Image Text:Determine if v is in the set spanned by the columns of B
B=
2-3
2
4 -3 7
6
0 17
6
-3 16
-1
1
24
9
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 reduced echelon form of the matrix formed by writing B with a fourth column equal to v is
O 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.
O C. Vector v is in the set spanned by the columns of B because
b₂ + b3 = v.
O D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
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