Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 16 - Multiple Integration - 16.6 Change of Variables - Preliminary Questions - Page 904: 1


(a) not linear. (b) linear. (c) not linear.

Work Step by Step

By comparing the given maps with the general form for a linear map $G(u,v)=(Au+Cv,Bu+Dv)$, we have (a) $(uv,v)$ is not linear. (b) $(u+v,u)$ is linear. (c) $(3,e^u)$ is not linear.
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