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: 6


$W$ is a vector subspace of $V$.

Work Step by Step

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