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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b516aee-7d49-4ef2-8ea6-6b4531e9424c%2Fac01c85a-2380-488e-8d21-ed7a55500fdc%2Ff561m4z_processed.png&w=3840&q=75)
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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