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: 28

Answer

$ \begin {bmatrix} -47.2 & -5 & -30 \\ 22.2 & -6.7 &36.8\\ -27.5 & -23.6 & -31.6\\ \end{bmatrix}$

Work Step by Step

$\begin {bmatrix} -3.7 & 2.5 & -7.5 \\ 2.2 & -6.2 & 0.3\\ 1.5 & -3.1 & 4.9\\ \end{bmatrix}$ $+(-5)\begin {bmatrix} 8.7& 1.5 & 4.5 \\ -4 & 0.1 &-7.3\\ 5.8 & 4.1 & 7.3\\ \end{bmatrix}$ $=\begin {bmatrix} -3.7 & 2.5 & -7.5 \\ 2.2 & -6.2 & 0.3\\ 1.5 & -3.1 & 4.9\\ \end{bmatrix} + \begin {bmatrix} 8.7(-5)& 1.5(-5) & 4.5(-5) \\ -4(-5) & 0.1(-5) &-7.3(-5)\\ 5.8(-5) & 4.1(-5) & 7.3(-5)\\ \end{bmatrix}$ $=\begin {bmatrix} -3.7 & 2.5 & -7.5 \\ 2.2 & -6.2 & 0.3\\ 1.5 & -3.1 & 4.9\\ \end{bmatrix} + \begin {bmatrix} -43.5 & -7.5 & -22.5 \\ 20 & -0.5 &36.5\\ -29 & -20.5 & -36.5\\ \end{bmatrix}$ $= \begin {bmatrix} -47.2 & -5 & -30 \\ 22.2 & -6.7 &36.8\\ -27.5 & -23.6 & -31.6\\ \end{bmatrix}$
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