Differential Equations and Linear Algebra (4th Edition)

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

Chapter 7 - Eigenvalues and Eigenvectors - 7.2 General Results for Eigenvalues and Eigenvectors - Problems - Page 453: 33

Answer

See below

Work Step by Step

We are given: $\begin{bmatrix} -1 & -2 & 0\\ 6 & -3 & -8\\ -2 & 2 & 1 \end{bmatrix}$ then $sum A=-1-3+1=-3$ Product of the given matrix is: $\det (A)= -1(-3+16)+2(6-16)+0\\ =-33$
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