Find a matrix P that orthogonally diagonalizes A, and determine P- 1AP. 20 -4 -4 V17 V17 P = V17 P = V17 V17 V17 P = V17 V17 V17 P = V17 V17 V17 1 V17 P = V17 -5 p-'AP = 0 16 16 P-'AP = 0 21 [4 P-'AP = 0 21 -4 P-'AP = 0 17 16 P-'AP = O 17

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a matrix P that orthogonally diagonalizes A, and determine P 1AP.
20 -4
-4
5
4
V17
V17
P =
V17
V17
V17
P =
V17
4
V17
V17
P =
_ 4
V17
V17
4
V17
V17
P =
V17
V17
1
V17
P =
V17
Op-'AP =
O 16
16
P-'AP =
O 21
4
P-'AP =
O 21
-4
p-'AP =
0 17
16
P-'AP =
0 17
Transcribed Image Text:Find a matrix P that orthogonally diagonalizes A, and determine P 1AP. 20 -4 -4 5 4 V17 V17 P = V17 V17 V17 P = V17 4 V17 V17 P = _ 4 V17 V17 4 V17 V17 P = V17 V17 1 V17 P = V17 Op-'AP = O 16 16 P-'AP = O 21 4 P-'AP = O 21 -4 p-'AP = 0 17 16 P-'AP = 0 17
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