Prove Theorem 9.2 If one of the eigenvalues of A has a positive real part, then the trivial solution to y' = Ay is unstable. (Note: You can assume all eigenvalues are real but just one of them is positive so not to deal with all the sin and cos business.)
Prove Theorem 9.2 If one of the eigenvalues of A has a positive real part, then the trivial solution to y' = Ay is unstable. (Note: You can assume all eigenvalues are real but just one of them is positive so not to deal with all the sin and cos business.)
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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