For which value of k does the matrix have one real eigenvalue of algebraic multiplicity 2? [5 k A 5 -1]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
Question
For which value of k does the matrix
have one real eigenvalue of algebraic multiplicity 2?
k =
А
k
A = 53 1/1]
Transcribed Image Text:For which value of k does the matrix have one real eigenvalue of algebraic multiplicity 2? k = А k A = 53 1/1]
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