Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - 12-1 Organizing Data Using Matrices - Practice and Problem-Solving Exercises - Page 730: 27

Answer

$-\begin{bmatrix} -28.2& 30.1 & -20.9\\ 7.9& 27.9 & -37\\ -8 & -36.4 & 7.8 \end{bmatrix}$

Work Step by Step

$-3\begin{bmatrix} 4.2 & -7.3 & 0.7\\ 2.7 & -9.3 & 11.8\\ 3.6 & 8.2 & -4.8 \end{bmatrix}$ $-(2)\begin{bmatrix} 7.8 & -4.1 & 9.4\\ -8& 0 & 0.8\\ -1.4 & 5.9 & 3.3 \end{bmatrix}$ $=\begin{bmatrix} 4.2(-3) & -7.3(-3) & 0.7(-3)\\ 2.7(-3) & 9.3(-3) & 11.8(-3)\\ 3.6(-3) & 8.2(-3) & -4.8(-3) \end{bmatrix}$$-\begin{bmatrix} 7.8(2) & -4.1(2) & 9.4(2)\\ -8(2)& 0(2) & 0.8(2)\\ -1.4(2) & 5.9(2) & 3.3(2) \end{bmatrix}$ $=\begin{bmatrix} -12.6 & 21.9 & -2.1\\ -8.1 & 27.9 & -35.4\\ -10.8 & -24.6 & 14.4 \end{bmatrix}$$-\begin{bmatrix} 15.6 & -8.2 & 18.8\\ -16& 0 & 1.6\\ -2.8 & 11.8 & 6.6 \end{bmatrix}$ $=-\begin{bmatrix} -28.2& 30.1 & -20.9\\ 7.9& 27.9 & -37\\ -8 & -36.4 & 7.8 \end{bmatrix}$
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