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: 16


$S$ does not span $R^2$.

Work Step by Step

Since all the vectors of $S$ are just a scalar multiple of the vector $(1,2)$. Then, $S$ does not span $R^2$. It just spans a subspace consisting of all vectors in the direction or in the opposite direction of the vector $(1,2)$.
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