Determine if v is in the set spanned by the columns of B. 2 -3 11 4 -3 7 B= v= 6 -3 14 6. 0 21 30 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 b, are linearly independent. O 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 O C. Vector v is in the set spanned by the columns of B because the columns of B span R*. O D. Vector v is in the set spanned by the columns of B because 5b, +6 b, + 0 by =v. Click to select and enter your answer(s) and then click Check Answer
Determine if v is in the set spanned by the columns of B. 2 -3 11 4 -3 7 B= v= 6 -3 14 6. 0 21 30 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 b, are linearly independent. O 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 O C. Vector v is in the set spanned by the columns of B because the columns of B span R*. O D. Vector v is in the set spanned by the columns of B because 5b, +6 b, + 0 by =v. Click to select and enter your answer(s) and then click Check Answer
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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