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: 25

Answer

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

Work Step by Step

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