Let A = P= -19 -8 -8 -19 4 -4 4 -4 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PTA -25 H D=
Let A = P= -19 -8 -8 -19 4 -4 4 -4 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PTA -25 H D=
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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Question
16
![Let A =
P =
19
-8
4
-8
-19
-4
4
-4
Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PTA
25
D=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f235440-846f-481a-843d-256d72715aa1%2F25faa853-8526-45db-90c2-ccd6bf7d6680%2Fl2ml4rx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A =
P =
19
-8
4
-8
-19
-4
4
-4
Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PTA
25
D=
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