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: 36

Answer

$$w=2u-3v =(-2,-4,-9,1).$$

Work Step by Step

Let $u=(1,-1,0,,1)$, $v=(0,2,3,-1)$. Since $ w+3v=-2u$, then we have $$w=2u-3v=-2(1,-1,0,1)-3(0,2,3,-1)) =(-2,-4,-9,1).$$
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