Let A = Problem 2 2 2 -5 4 4 (1) Compute the characteristic polynomial of the matrix A. (2) Find the eigenvalue of A and their multiplicities. Find an orthogonal diagonalization of the matrix A of

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
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Let A
Problem
=
-8 2 2
-5 4
2
2
4 -5
(1) Compute the characteristic polynomial of the matrix A.
(2) Find the eigenvalue of A and their multiplicities.
Find an orthogonal diagonalization of the matrix A of
Transcribed Image Text:Let A Problem = -8 2 2 -5 4 2 2 4 -5 (1) Compute the characteristic polynomial of the matrix A. (2) Find the eigenvalue of A and their multiplicities. Find an orthogonal diagonalization of the matrix A of
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