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The characteristic polynomial of the matrix A= a) Find the eigenvalues. List the algebraic multiplicity for each eigenvalue. b) Find the eigenvectors for each eigenvalue. 4 −1 -1 -1 4 −1 is (A-2)(A5)² -1 −1 4 d) Diagonalize A, i.e, write A = PDP-¹.

The characteristic polynomial of the matrix A= a) Find the eigenvalues. List the algebraic multiplicity for each eigenvalue. b) Find the eigenvectors for each eigenvalue. 4 −1 -1 -1 4 −1 is (A-2)(A5)² -1 −1 4 d) Diagonalize A, i.e, write A = PDP-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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The characteristic polynomial of the matrix A= a) Find the eigenvalues. List the algebraic multiplicity for each eigenvalue. b) Find the eigenvectors for each eigenvalue. 4 −1 -1 -1 4 −1 is (A − 2)(X - 5)². -1 −1 4 d) Diagonalize A, i.e, write A = PDP-¹.
Transcribed Image Text:The characteristic polynomial of the matrix A= a) Find the eigenvalues. List the algebraic multiplicity for each eigenvalue. b) Find the eigenvectors for each eigenvalue. 4 −1 -1 -1 4 −1 is (A − 2)(X - 5)². -1 −1 4 d) Diagonalize A, i.e, write A = PDP-¹.
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