Problem 3. Find an orthogonal diagonalization of the matrix A of Problem 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q3 please
Transcribed Image Text:-8 2 2
Problem 1. Let A =
2
-5
4
2
4-5,
(1) Compute the characteristic polynomial of the matrix A.
(2) Find the eigenvalue of A and their multiplicities.
(3) Is A invertible? Why?
Problem 2. Find a basis for each eigenspace of the matrix A of
Problem 1.
Problem 3. Find an orthogonal diagonalization of the matrix A of
Problem 1.
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