Answer
$S$ is a linearly dependent set of vectors.
Work Step by Step
Since $(3,-6)=-3(-1,2)$, then we ghave the non trivial combination
$$(3,-6)+3(-1,2)=(0,0).$$
Hence $S$ is a linearly dependent set of vectors.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 4 - Vector Spaces - 4.4 Spanning Sets and Linear Independence - 4.4 Exercises - Page 178: 30
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