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2 -8 2 2-54 Problem 1. Let A = 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

2 -8 2 2-54 Problem 1. Let A = 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

Advanced Engineering Mathematics
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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-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.
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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