p'AP = 0 49] 01 0 50] 0] 0 50 0] 0 57. 0] 57 -7 p'AP = 49 p'AP = 49 p-'AP p'AP = 7

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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Question
--
p-'AP = ||
0 49
-7
p'AP =
0 50
01
49
p-'AP =
0 50
49
p-'AP =
0 57
7.
p-'AP = 6
0 57
Transcribed Image Text:-- p-'AP = || 0 49 -7 p'AP = 0 50 01 49 p-'AP = 0 50 49 p-'AP = 0 57 7. p-'AP = 6 0 57
Find a matrix P that orthogonally diagonalizes A, and determine P-1AP.
56 -7
-7
8
V50
P =
1
50
V50
50
P =
7
50
50
50
50
P =
50
50
1
V50
P =
50
V50
P =
50
50
50
Transcribed Image Text:Find a matrix P that orthogonally diagonalizes A, and determine P-1AP. 56 -7 -7 8 V50 P = 1 50 V50 50 P = 7 50 50 50 50 P = 50 50 1 V50 P = 50 V50 P = 50 50 50
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