For the symmetric matrix 1 2 21 A = 200 (2 0 2/ find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left to bottom right. Use: the characteristic polynomial of A is CA (A)=-13 +312 +6A-8, and one of its roots is 1. D= P=
For the symmetric matrix 1 2 21 A = 200 (2 0 2/ find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left to bottom right. Use: the characteristic polynomial of A is CA (A)=-13 +312 +6A-8, and one of its roots is 1. D= P=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 24E
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solve this
![For the symmetric matrix
1 2 2
200
2 0 2/
A =
find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left
to bottom right.
Use: the characteristic polynomial of A is CA (A)=-13 +32 +6A-8, and one of its roots is 1.
D=
P=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dad1f52-ddd0-4356-8f5b-2c8ae9fb38eb%2F3e6691c3-fab9-4a06-aeaa-11e2e8bb746b%2Fg7x3xsj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the symmetric matrix
1 2 2
200
2 0 2/
A =
find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left
to bottom right.
Use: the characteristic polynomial of A is CA (A)=-13 +32 +6A-8, and one of its roots is 1.
D=
P=
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