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-2 2 -2 4 4 2 4 Find P such that P' AP orthogonally diagonalizes A= State what the diagonal matrix is. 4 4

-2 2 -2 4 4 2 4 Find P such that P' AP orthogonally diagonalizes A= State what the diagonal matrix is. 4 4

Elementary Linear Algebra (MindTap Course List)
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
-2 2 -2 4 4 2 4 Find P such that P' AP orthogonally diagonalizes A= State what the diagonal matrix is. 4 4
Transcribed Image Text:-2 2 -2 4 4 2 4 Find P such that P' AP orthogonally diagonalizes A= State what the diagonal matrix is. 4 4
Expert Solution
Step 1

According to the given information, it is required to find P such that PTAP orthogonally diagonalizes A.

Advanced Math homework question answer, step 1, image 1

Step 2

First find the eigen values and eigen vectors of A.

Advanced Math homework question answer, step 2, image 1

Step 3

Now find the eigen vectors.

Advanced Math homework question answer, step 3, image 1

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