Determine whether each of the following sets of vectors is linearly dependent or linearly independent. If the set is linearly dependent, express one of the vectors in this set as a linear combination of the other vectors in this set. (d) (11,21,3,4,51), (2, 1, 2, 1, −13), (0, 0, 0, 0, 0), (-29, 1, 2, 1, −31)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Determine whether each of the following sets of vectors
is linearly dependent or linearly independent. If the set
is linearly dependent, express one of the vectors in this
set as a linear combination of the other vectors in this
set.
(d) (11,21,3,4,51), (2, 1, 2, 1, −13), (0, 0, 0, 0, 0),
(-29, 1, 2, 1, −31)
Transcribed Image Text:Determine whether each of the following sets of vectors is linearly dependent or linearly independent. If the set is linearly dependent, express one of the vectors in this set as a linear combination of the other vectors in this set. (d) (11,21,3,4,51), (2, 1, 2, 1, −13), (0, 0, 0, 0, 0), (-29, 1, 2, 1, −31)
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