Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 10 - 10.2 - Operations with Matrices - 10.2 Exercises - Page 725: 57

Answer

Part A: $\begin{bmatrix} 4\\ 7\\ \end{bmatrix}$ = <4, 7> Part B: $\begin{bmatrix} -2\\ 3\\ \end{bmatrix}$ = Part C: $\begin{bmatrix} 8\\ 1\\ \end{bmatrix}$ = <8,1>

Work Step by Step

First rewrite the vectors as matrices: u = $\begin{bmatrix} 1\\ 5\\ \end{bmatrix}$ v = $\begin{bmatrix} 3\\ 2\\ \end{bmatrix}$ Part A: $\begin{bmatrix} 1+3\\ 5+2\\ \end{bmatrix}$ = $\begin{bmatrix} 4\\ 7\\ \end{bmatrix}$ = <4, 7> Part B: $\begin{bmatrix} 1-3\\ 5-2\\ \end{bmatrix}$ = $\begin{bmatrix} -2\\ 3\\ \end{bmatrix}$ = Part C: $\begin{bmatrix} (3)3 - 1\\ (3)2 - 5\\ \end{bmatrix}$ = $\begin{bmatrix} 8\\ 1\\ \end{bmatrix}$ = <8,1>
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