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.
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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf909276-6ad3-4144-b98c-235c5a32e436%2F00b612ff-07ea-445b-a9e4-35e2472ebfb5%2Freog47e_processed.jpeg&w=3840&q=75)
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.
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