Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.4 - The Algebra of Matrices - 10.4 Exercises - Page 721: 21

Answer

$\displaystyle \left[\begin{array}{ll} 0 & -5\\ -25 & -20\\ -10 & 10 \end{array}\right]$

Work Step by Step

Given $D=\displaystyle \left[\begin{array}{ll} 10 & 20\\ 30 & 20\\ 10 & 0 \end{array}\right]$ $C = \displaystyle \left[\begin{array}{ll} 2 & 3\\ 1 & 0\\ 0 & 2 \end{array}\right]$ Solve for X $0.2(X + D) = C$ $X = 5C - D$ $ 5 \displaystyle \left[\begin{array}{ll} 2 & 3\\ 1 & 0\\ 0 & 2 \end{array}\right] - \displaystyle \left[\begin{array}{ll} 10 & 20\\ 30 & 20\\ 10 & 0 \end{array}\right]$ $ \displaystyle \left[\begin{array}{ll} 10 & 15\\ 5& 0\\ 0 & 10 \end{array}\right] - \displaystyle \left[\begin{array}{ll} 10 & 20\\ 30 & 20\\ 10 & 0 \end{array}\right]$ = $\displaystyle \left[\begin{array}{ll} 0 & -5\\ -25 & -20\\ -10 & 10 \end{array}\right]$
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