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
icon
Related questions
Question
Determine if v is in the set spanned by the columns of B.
2 -3
11
4 -3 7
B=
v=
6 -3 14
0 21
9
6.
30
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 bz 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*.
D. Vector v is in the set spanned by the columns of B because 5 b, + 6 b2 + 0 b, = v.
Click to select and enter your answeris) and then click Check Answer
Transcribed Image Text:Determine if v is in the set spanned by the columns of B. 2 -3 11 4 -3 7 B= v= 6 -3 14 0 21 9 6. 30 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 bz 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*. D. Vector v is in the set spanned by the columns of B because 5 b, + 6 b2 + 0 b, = v. Click to select and enter your answeris) and then click Check Answer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Vector Addition and Scalar Multiplication
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning