Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 5 - Inner Product Spaces - 5.2 Inner Product Spaces - 5.2 Exercises - Page 247: 91


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Work Step by Step

Using the properties mentioned in the definition of the inner product, \begin{aligned} \langle u+v, w\rangle &=\langle w,u+v\rangle \\ &= \langle w,u\rangle+\langle w,v\rangle\\ &= \langle u,w\rangle+\langle v,w\rangle. \end{aligned}.
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