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Determine if v is in the set spanned by the columns of B. B = 2-3 2 4-3 7 0 18 6-3 21 6 V= -3 3 18 9 ... 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, b₁,b2, and b3 are linearly independent. OB. Vector v is in the set spanned by the columns of B because b₁ + OC. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix forme by writing B with a fourth column equal to v is b₂+ D3 = V. OD. 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 18 6-3 21 6 V= -3 3 18 9 ... 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, b₁,b2, and b3 are linearly independent. OB. Vector v is in the set spanned by the columns of B because b₁ + OC. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix forme by writing B with a fourth column equal to v is b₂+ D3 = V. OD. Vector v is in the set spanned by the columns of B because the columns of B span R4.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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Determine if v is in the set spanned by the columns of B. B = 2-3 2 4 -3 7 6 0 18 6 3 21 V = -3 3 18 9 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, b₁,b2, and b3 are linearly independent. B. Vector v is in the set spanned by the columns of B because b₁ + ·b₂ + b3 = v. 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 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. B = 2-3 2 4 -3 7 6 0 18 6 3 21 V = -3 3 18 9 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, b₁,b2, and b3 are linearly independent. B. Vector v is in the set spanned by the columns of B because b₁ + ·b₂ + b3 = v. 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 D. Vector v is in the set spanned by the columns of B because the columns of B span R4.
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