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: 24

Answer

$a.\quad\left[\begin{array}{rrr} -1 & -3 & -5\\ -1 & 3 & -6 \end{array}\right]$ $b.\quad\left[\begin{array}{rrr} -6 & 16 & 10\\ 2 & -14 & 24 \end{array}\right]$

Work Step by Step

$a.$ $C-B=\left[\begin{array}{lll} 2 & -5/2 & 0\\ 0 & 2 & -3 \end{array}\right]-\left[\begin{array}{lll} 3 & 1/2 & 5\\ 1 & -1 & 3 \end{array}\right]=\left[\begin{array}{lll} -1 & -3 & -5\\ -1 & 3 & -6 \end{array}\right]$ $b.$ $2C-6B=2\left[\begin{array}{lll} 3 & 1/2 & 5\\ 1 & -1 & 3 \end{array}\right]-6\left[\begin{array}{lll} 2 & -5/2 & 0\\ 0 & 2 & -3 \end{array}\right]$ $=\left[\begin{array}{lll} 6 & 1 & 10\\ 2 & -2 & 6 \end{array}\right]-\left[\begin{array}{lll} 12 & -15 & 0\\ 0 & 12 & -18 \end{array}\right]$ $=\left[\begin{array}{rrr} -6 & 16 & 10\\ 2 & -14 & 24 \end{array}\right]$
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