6. Consider the matrix 0 -[1] a A = (a) For what value(s) of a does A have an eigenvalue of multiplicity 2? What is the value of the eigenvalue in this case? (b) For what value(s) of a does A have -1 and 2 as eigenvalues? (c) For what value(s) of a does A have a complex eigenvalues?
6. Consider the matrix 0 -[1] a A = (a) For what value(s) of a does A have an eigenvalue of multiplicity 2? What is the value of the eigenvalue in this case? (b) For what value(s) of a does A have -1 and 2 as eigenvalues? (c) For what value(s) of a does A have a complex eigenvalues?
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 41EQ
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