Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 6 - Orthogonality and Least Squares - 6.7 Exercises - Page 385: 15

Answer

True by axioms 1 and 3

Work Step by Step

$\langle\vec{u}, c\vec{v}\rangle=\langle c\vec{v}, \vec{u}\rangle$ by axiom 1 $\langle c\vec{v}, \vec{u}\rangle=c\langle \vec{v}, \vec{u}\rangle$ by axiom 3 $c\langle \vec{v}, \vec{u}\rangle=c\langle \vec{u}, \vec{v}\rangle$ by axiom 1
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