Find the eigenvalues of the matrix A. -1 4 -5 A = -5 -4 24 15 The eigenvalues are A1 < d2 < Ag

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Chapter 7.2 Question 9

Find the eigenvalues of the matrix A.
-1
4
-5
A =
-5
-4
24
15
The eigenvalues are A1 < A2 < Ag < d4 where
A1 =
has an eigenvector
has an eigenvector
d3 =
. has an eigenvector
4=
, has an eigenvector
Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.
ㅇㅇ
Transcribed Image Text:Find the eigenvalues of the matrix A. -1 4 -5 A = -5 -4 24 15 The eigenvalues are A1 < A2 < Ag < d4 where A1 = has an eigenvector has an eigenvector d3 = . has an eigenvector 4= , has an eigenvector Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues. ㅇㅇ
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