Find A || 4 0 0 5 32 -2 0 2 (a) the characteristic polynomial (b) the eigen-values (c) a basis of the eigen-space corresponding to each eigenvalue.

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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A =
4
0 0
5 32
-2 0 2
Find
(a) the characteristic polynomial
(b) the eigen-values
(c) a basis of the eigen-space corresponding to each eigenvalue.
Transcribed Image Text:A = 4 0 0 5 32 -2 0 2 Find (a) the characteristic polynomial (b) the eigen-values (c) a basis of the eigen-space corresponding to each eigenvalue.
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