Consider the vectors =<3, -7, -1>, 7=<1, -8, -4>, and w=< 27 23 , k>. What 2 4 value of k will cause the set {u, v, w} to be linearly dependent? You may submit your answer as a fraction, if necessary. (The use of a computer algebra system may be used to reduce any matrices involved.) k = makes the set linearly dependent.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 84E
icon
Related questions
Question
Consider the vectors
=<3, -7, -1>, 7=<1, -8, -4>, and w=<
27
23
, k>. What
2
4
value of k will cause the set {u, v, w} to be linearly dependent? You may submit your answer as a
fraction, if necessary. (The use of a computer algebra system may be used to reduce any matrices
involved.)
k =
makes the set linearly dependent.
Transcribed Image Text:Consider the vectors =<3, -7, -1>, 7=<1, -8, -4>, and w=< 27 23 , k>. What 2 4 value of k will cause the set {u, v, w} to be linearly dependent? You may submit your answer as a fraction, if necessary. (The use of a computer algebra system may be used to reduce any matrices involved.) k = makes the set linearly dependent.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax