A = -3 3 -15 2 1 -2 -1 10 5 (1) Find the characteristic polynomial and all the eigenvalues of the matrix A; (2) Find the invariant factors and the Jordan canonical form of the matrix A; (3) Find the minimal polynomial of the matrix A.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
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A =
-3
3
-15
2 1
-2 -1
10 5
(1) Find the characteristic polynomial and all the eigenvalues of the matrix A;
(2) Find the invariant factors and the Jordan canonical form of the matrix A;
(3) Find the minimal polynomial of the matrix A.
Transcribed Image Text:A = -3 3 -15 2 1 -2 -1 10 5 (1) Find the characteristic polynomial and all the eigenvalues of the matrix A; (2) Find the invariant factors and the Jordan canonical form of the matrix A; (3) Find the minimal polynomial of the matrix A.
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