Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 2 - Matrices - 2.1 Operations with Matrices - 2.1 Exercises - Page 48: 12

Answer

(a) $A+B$ not defined. (b) $A-B$ not defined. (c) \begin{align*} 2A&=2\left[\begin{array}{r}{3} \\ {2} \\ {-1}\end{array}\right]=\left[\begin{array}{r}{6} \\ {4} \\ {-2} \end{array}\right]. \end{align*} (d)$2A-B$ not defined. (e) $\frac{1}{2}A+B$ not defined.

Work Step by Step

Given $$ A=\left[\begin{array}{r}{3} \\ {2} \\ {-1}\end{array}\right], \quad B=\left[\begin{array}{ccc}{-4} & {6} & {2}\end{array}\right] $$ (a) $A+B$ not defined. (b) $A-B$ not defined. (c) \begin{align*} 2A&=2\left[\begin{array}{r}{3} \\ {2} \\ {-1}\end{array}\right]=\left[\begin{array}{r}{6} \\ {4} \\ {-2} \end{array}\right]. \end{align*} (d)$2A-B$ not defined. (e) $\frac{1}{2}A+B$ not defined.
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