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: 60

Answer

Part A: $\begin{bmatrix} 9\\ -3\\ \end{bmatrix}$ = <9, -3> Part B: $\begin{bmatrix} 5\\ -5\\ \end{bmatrix}$ = <5, -5> Part C: $\begin{bmatrix} -1\\ 7\\ \end{bmatrix}$ =

Work Step by Step

First rewrite the vectors as matrices: u = $\begin{bmatrix} 7\\ -4\\ \end{bmatrix}$ v = $\begin{bmatrix} 2\\ 1\\ \end{bmatrix}$ Part A: $\begin{bmatrix} 7+2\\ -4+1\\ \end{bmatrix}$ = $\begin{bmatrix} 9\\ -3\\ \end{bmatrix}$ = <9, -3> Part B: $\begin{bmatrix} 7-2\\ -4-1\\ \end{bmatrix}$ = $\begin{bmatrix} 5\\ -5\\ \end{bmatrix}$ = <5, -5> Part C: $\begin{bmatrix} (3)2 - 7\\ (3)1 + 4\\ \end{bmatrix}$ = $\begin{bmatrix} -1\\ 7\\ \end{bmatrix}$ =
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