Answer
See below.
Work Step by Step
$4x+(-7)y=5(3, −1, 2, 5)-7(−1, 2, 9, −2)=(15,-5,10,25)+(7,-14,-63,14)=(22,-19,-53,39)$
The additive inverse of $(x,y,z,w)$ is $(-x,-y,-z,-w)$, thus here the additive inverse is $(-22,19,53,-39)$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
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: 4
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