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: 9

Answer

$$u+v=(-1,-4).$$

Work Step by Step

The sum of the vectors $u=(2,-3)$ and $v=(-3,-1)$ is given as follows \begin{align*} u+v&=(2,-3)+(-3,-1)\\ &=(-1,-4). \end{align*} Geometrically, see the following figure
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