Elementary Linear Algebra 7th Edition

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


$S$ 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.
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