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: 16

Answer

\begin{align*} v &=(4,7). \end{align*}

Work Step by Step

Consider the vectors ${u}=(-2,3), \quad {w}=(-3,-2)$ \begin{align*} v &= {u}-2{w}\\ &= (-2,3)-2(-3,-2)\\ &=(-2,3)+(6,4)\\ &=(4,7). \end{align*} Geometrically, see the figure
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