The matrix has three distinct real eigenvalues if and only if

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 31EQ
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The matrix
-1
-1
A = |-8
-1
k
has three distinct real eigenvalues if and only if
< k <
Transcribed Image Text:The matrix -1 -1 A = |-8 -1 k has three distinct real eigenvalues if and only if < k <
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