(a) Consider the matrix A = [1], where k is an arbitrary constant. (1) For which values of k does A have two distinct real eigenvalues? Explain. When is there no real eigenvalues? Explain.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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For which values of k does A have two distinct real eigenvalues? Explain.
(a) Consider the matrix A =
(1)
], where k is an arbitrary constant.
When is there no real eigenvalues? Explain.
Transcribed Image Text:[1 For which values of k does A have two distinct real eigenvalues? Explain. (a) Consider the matrix A = (1) ], where k is an arbitrary constant. When is there no real eigenvalues? Explain.
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