Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 4 - Section 4.1 - Matrix Addition and Scalar Multiplication - Exercises - Page 239: 24

Answer

$\left[\begin{array}{rrr} \dfrac{3}{2} & 0 & -\dfrac{1}{2}\\\\ \dfrac{5}{2} & -\dfrac{1}{2} & \dfrac{1}{2} \end{array}\right]$

Work Step by Step

$A=\left[\begin{array}{lll} 1 & -1 & 0\\ 0 & 2 & 1 \end{array}\right],\quad B=\left[\begin{array}{lll} 3 & 0 & -1\\ 5 & -1 & 1 \end{array}\right],\quad C=\left[\begin{array}{lll} x & 1 & w\\ z & r & 4 \end{array}\right]$ $(\displaystyle \frac{1}{2}B)_{ij}=\frac{1}{2}\cdot b_{ij}$ --- $\displaystyle \frac{1}{2}\cdot B=\left[\begin{array}{lll} \frac{1}{2}\cdot 3 & \frac{1}{2}\cdot 0 & \frac{1}{2}\cdot(-1)\\ \frac{1}{2}\cdot 5 & \frac{1}{2}\cdot(-1) & \frac{1}{2}\cdot 1 \end{array}\right]=\displaystyle \left[\begin{array}{lll} \frac{3}{2} & 0 & -\frac{1}{2}\\ \frac{5}{2} & -\frac{1}{2} & \frac{1}{2} \end{array}\right]$
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.