Determine if v is in the set spanned by the columns of B. B= 8-3 2 -9 4-7 6-2 4 5 -1 10 V= 12 -11 10 11 GETOP Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b₂, and b, are linearly independent. B. 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 OC. Vector v is in the set spanned by the columns of B because the columns of B span R¹. OD. Vector v is in the set spanned by the columns of B because b₁ b₂+ b3 =V. +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine if v is in the set spanned by the columns of B.
B=
8-3 2
-9 4-7
6-2 4
5 -1 10
V=
12
-11
10
11
GETOP
Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.
OA. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b₂, and b, are linearly independent.
B. 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
OC. Vector v is in the set spanned by the columns of B because the columns of B span R¹.
OD. Vector v is in the set spanned by the columns of B because b₁ b₂+ b3 FV.
+
Transcribed Image Text:Determine if v is in the set spanned by the columns of B. B= 8-3 2 -9 4-7 6-2 4 5 -1 10 V= 12 -11 10 11 GETOP Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice. OA. Vector v is not in the set spanned by the columns of B because the columns of B, b,, b₂, and b, are linearly independent. B. 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 OC. Vector v is in the set spanned by the columns of B because the columns of B span R¹. OD. Vector v is in the set spanned by the columns of B because b₁ b₂+ b3 FV. +
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