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
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
Problem 16EQ
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F672bf286-8abe-4b07-9ca1-0d5b2612956c%2F3b4cac97-fbe4-4639-9f7b-e91fb8214181%2Fefbhk2_processed.jpeg&w=3840&q=75)
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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