Find the characteristic polynomial, the eigenvalues, and associated eigenvectors of each of the following matri- ces: -2 -4 -8 0 1 (a) (b) 1 1 2 -i 2i 0 0 1 0 5 2 (d) (c) 1 3

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 3EQ: In Exercises 1-12, compute (a) the characteristic polynomial of A, (b) the eigenvalues of A, (c) a...
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Find the characteristic polynomial, the eigenvalues, and
associated eigenvectors of each of the following matri-
ces:
-2 -4 -8
0 1
(a)
(b)
1
1
2 -i 2i
0 0
1 0
5 2
(d)
(c)
1
3
Transcribed Image Text:Find the characteristic polynomial, the eigenvalues, and associated eigenvectors of each of the following matri- ces: -2 -4 -8 0 1 (a) (b) 1 1 2 -i 2i 0 0 1 0 5 2 (d) (c) 1 3
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