For the matrix A, find an orthogonal matrix P such that P-1 A Pis diagonal. 3-2 41 A = I ده است مراد 23 -2 6 4 2 I تان ادب calen ده به مساحت ده است - داده ده ام 72 0 72 72 72 0 72 ہی ہے √2 2 372 1 372 72 3/2 3 372 4 3/2 372 - - 372 372 372 372 4 372 1 372

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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For the matrix A, find an orthogonal matrix P such that P-1 APis diagonal.
3-2
6
A =
T
cole coles
23
15012 1505
23 43
I
-2
4
13 23
23
-
23
23
2 3
V2
V2
V2
42
0
41
V2
√√2
3/2
4
3V2
3V2
-
V2 3/2
3/2
1
3/2
V2 3/2
기념 기념 기념 기념 게임 게임
Transcribed Image Text:For the matrix A, find an orthogonal matrix P such that P-1 APis diagonal. 3-2 6 A = T cole coles 23 15012 1505 23 43 I -2 4 13 23 23 - 23 23 2 3 V2 V2 V2 42 0 41 V2 √√2 3/2 4 3V2 3V2 - V2 3/2 3/2 1 3/2 V2 3/2 기념 기념 기념 기념 게임 게임
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