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 - 4.3 Subspaces of Vector Spaces - 4.3 Exercises - Page 167: 5


W is a vector subspace of V.

Work Step by Step

Since the sum of continuous functions is continuous and the multiplication of a continuous function by a scalar is continuous, then $W$ the set of all functions that are continuous on $[-1,1]$ is a vector subspace of the set of all functions that are integrable on $[-1,1]$.
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