Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 4 - Vector Spaces - 4.1 Vectors in Rn - Problems - Page 252: 3

Answer

$(20,-64,-22)$.

Work Step by Step

$-2x+10y=-2(5,-2,9)+10(-1,6,4)=(-10,4,-18)+(-10,60,40)=(-20,64,22)$ The additive inverse of $(x,y,z)$ is $(-x,-y,-z)$, thus here the additive inverse is $(20,-64,-22)$.
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