7 2 Let A = 24 symmetrix matrix A such that A = PDPT. O √2 1 √√5 O 1 √√3 1 2 -1 √√3] √√3√√2 +-2] Find an orthogonal matrix P that diagonalizes the 1 -√√2

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 32CM: Prove that if A is similar to B and A is diagonalizable, then B is diagonalizable.
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Question 30
Let A =
24
symmetrix matrix A such that A = PDPT.
1
設 開
√√2 1
[
7 2
1
O 12
√5 1
0
2015
問
1
VELVE
品
. Find an orthogonal matrix P that diagonalizes the
哥
Transcribed Image Text:Question 30 Let A = 24 symmetrix matrix A such that A = PDPT. 1 設 開 √√2 1 [ 7 2 1 O 12 √5 1 0 2015 問 1 VELVE 品 . Find an orthogonal matrix P that diagonalizes the 哥
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