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 - 4.1 Vectors in Rn - 4.1 Exercises - Page 153: 26

Answer

(a) $-v= (-2,0,-1)$ (b)$2v= (4,0,2)$ (c) $\frac{1}{2}v= (1,0,\frac{1}{2})$

Work Step by Step

Let $v$ be given by $v=(2,0,1)$, now we have (a) $-v=-(2,0,1)=(-2,0,-1)$ (b)$2v=2(2,0,1)=(4,0,2)$ (c) $\frac{1}{2}v=\frac{1}{2}(2,0,1)=(1,0,\frac{1}{2})$
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