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.

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 42EQ
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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.
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