Find an invertible matrix P and a diagonal matrix D such that P AP=D. 4 0 0 18 2 0-36 0 0-2 -4 %3D 6 0 0 -6

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 26CM: Find an orthogonal matrix P such that PTAP diagonalizes the symmetric matrix A=[1331].
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Find an invertible matrix P and a diagonal matrix D such that PAP=D.
4 0 0
-4
18 2 0 -36
10-2 0
A =
6 0 0
-6
0000
0 0 0 0
0000
0000
P 3=
0000
D=
00 00
0.
0000
0 0 00
Transcribed Image Text:Find an invertible matrix P and a diagonal matrix D such that PAP=D. 4 0 0 -4 18 2 0 -36 10-2 0 A = 6 0 0 -6 0000 0 0 0 0 0000 0000 P 3= 0000 D= 00 00 0. 0000 0 0 00
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