Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 2 - Matrices and Systems of Linear Equations - 2.9 Chapter Review - Additional Problems - Page 192: 4

Answer

$-4A-B^T=\begin{pmatrix} 11 & -18 & -9& -24\\ 4 & 2 & -17 & -1 \end{pmatrix}$

Work Step by Step

$-4A-B^T$ $=\begin{pmatrix} 8 & -16 & -8 & -24\\ 4 & 4 &-20 & 0 \end{pmatrix}-\begin{pmatrix} -3 & 2 & 1 & 0\\ 0 & 2 & -3 & 1 \end{pmatrix}$ $=\begin{pmatrix} 11 & -18 & -9& -24\\ 4 & 2 & -17 & -1 \end{pmatrix}$
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