Find the eigenvalues of the matrix A 6 7 0 -14 -15 A = -21 -12 56 31 ne eigenvalues are A1 <2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the eigenvalues of the matrix A-
7
-14 -15
A =
-21 -12
56
31
The eigenvalues are d, < 12 < dg < dg, where
has an eigenvector
has an eigenvector
-3/7
-1/2
1
-1
-1/2
1
has an eigenvector
d = -R
has an eigenvector
吕0
F3
000
000 F4
F2
F6
F7
F8
F9
#
2$
4
&
3
5
6.
7
8
9.
E
R
T
Y
U
D
F
G
H
K
C
V
Transcribed Image Text:Find the eigenvalues of the matrix A- 7 -14 -15 A = -21 -12 56 31 The eigenvalues are d, < 12 < dg < dg, where has an eigenvector has an eigenvector -3/7 -1/2 1 -1 -1/2 1 has an eigenvector d = -R has an eigenvector 吕0 F3 000 000 F4 F2 F6 F7 F8 F9 # 2$ 4 & 3 5 6. 7 8 9. E R T Y U D F G H K C V
3 0
Find the eigenvalues of A, given that A =
3
8
4 -4
-9
0.
and its eigenvectors are
and
The eigenvalues are 3
, and
-9
DEC
9.
20
F3
O00
000 F4
F2
F5
F6
F7
$
&
3
4
5
7
E
R
Y
Transcribed Image Text:3 0 Find the eigenvalues of A, given that A = 3 8 4 -4 -9 0. and its eigenvectors are and The eigenvalues are 3 , and -9 DEC 9. 20 F3 O00 000 F4 F2 F5 F6 F7 $ & 3 4 5 7 E R Y
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