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: 6

Answer

$z=(7.5,-18,-15.5)$

Work Step by Step

$4x-y+2z=0\\4(-3,9,9)-(3,0,-5)+2z=0\\(-12,36,36)-(3,0,-5)=-2z\\(-15,36,31)=-2z\\z=(7.5,-18,-15.5)$
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