Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 0-32198-238-X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - Problems - Page 32: 2

Answer

a) $\left[ {\begin{array}{cc} 5\\ 1 \end{array} } \right]$ b) $\left[ {\begin{array}{cc} -1\\ 4 \end{array} } \right]$

Work Step by Step

We want to compute $u+v$ and $u-2v$ for $u= \left[ {\begin{array}{cc} 3\\ 2\\ \end{array} } \right]$ and $v= \left[ {\begin{array}{cc} 2\\ -1 \end{array} } \right]$. $u+v=\left[ {\begin{array}{cc} 3\\ 2\\ \end{array} } \right]+\left[ {\begin{array}{cc} 2\\ -1 \end{array} } \right]=\left[ {\begin{array}{cc} 5\\ 1 \end{array} } \right]$ $u-2v=\left[ {\begin{array}{cc} 3\\ 2\\ \end{array} } \right]-2\left[ {\begin{array}{cc} 2\\ -1 \end{array} } \right]=\left[ {\begin{array}{cc} -1\\ 4 \end{array} } \right]$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.