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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Determine if v is in the set spanned by the columns of B.
8 -3
2
23
-9
4-7
-24
B=
v=
6-2
4
18
5-1
10
17
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.
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
C. Vector v is in the set spanned by the columns of B because
b₁+b2+ b3 = v.
OD. Vector v is in the set spanned by the columns of B because the columns of B span R4.
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