For the matrix A, find an orthogonal matrix P such that P-¹APis diagonal. 1 1 0 1 10 [002] A = 01 01 1 100 /2 6 √2 0 0 √20 /2 1 ΤΟ 1 - 1 0 −1 −1 0 1 1 10 0 0 1 0 1 1 √20 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 22E
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For the matrix A, find an orthogonal matrix P such that P-¹AP is diagonal.
1
1 0
1 10
[002]
A
=
01
01 1
100
/2
√2
/2
0
0
√20
1
−1 −1
0
ΤΟ
1
0 1 1
10 0
-
0 1
0
1 1
√20 0
Transcribed Image Text:For the matrix A, find an orthogonal matrix P such that P-¹AP is diagonal. 1 1 0 1 10 [002] A = 01 01 1 100 /2 √2 /2 0 0 √20 1 −1 −1 0 ΤΟ 1 0 1 1 10 0 - 0 1 0 1 1 √20 0
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