Determine if v is in the set spanned by the columns of B. 2 -3 2 - 4 6 -7 9 - 4 B = v= 6 -5 15 4 6 -3 21 12 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 columns of B, b,, b2, and bz are linearly independent. O B. Vector v is in the set spanned by the columns of B because the columns of B span R“ O 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 b1 + b2 b3 = v.

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.
- 3
2
4
6 -7
9.
- 4
B =
V =
- 5 15
4
6 - 3 21
12
...
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 columns of B, b1, b2, and b3 are linearly independent.
B. Vector v is in the set spanned by the columns of B because the columns of B span
R4.
O 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
O D. Vector v is in the set spanned by the columns of B because
b, +
b2 *
b3 = v.
CO
Transcribed Image Text:Determine if v is in the set spanned by the columns of B. - 3 2 4 6 -7 9. - 4 B = V = - 5 15 4 6 - 3 21 12 ... 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 columns of B, b1, b2, and b3 are linearly independent. B. Vector v is in the set spanned by the columns of B because the columns of B span R4. O 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 O D. Vector v is in the set spanned by the columns of B because b, + b2 * b3 = v. CO
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