Answer
$$(1,2)=(1,0)+2(0,1).$$
Work Step by Step
The set $S$ is not a basis for $R^2$ because the vectors in $S$ are not linearly independent. One can see that
$$(1,2)=(1,0)+2(0,1).$$
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 - 4.5 Basis and Dimension - 4.5 Exercises - Page 187: 7
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