Diagonalize the matrix -3 9 A = -6 18 8 16 6 -18 -16] by writing it as A = PDP-¹

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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Diagonalize the matrix
-3 9
8
-6 18 16
6 -18 -16
by writing it as A = PDP-¹
A
=
The result of multiplying your previous answers is:
P =
1
P-
0
0
D =
-3
0
0
=
1
0
0
3
1
0
0
0
0
-3
1
0
3
0
1
0
0
0
T
0
1
3
-3 9 8
0 00
0 00
Transcribed Image Text:Diagonalize the matrix -3 9 8 -6 18 16 6 -18 -16 by writing it as A = PDP-¹ A = The result of multiplying your previous answers is: P = 1 P- 0 0 D = -3 0 0 = 1 0 0 3 1 0 0 0 0 -3 1 0 3 0 1 0 0 0 T 0 1 3 -3 9 8 0 00 0 00
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