4. Suppose that the square matrix A has a negative eigenvalue. Show that the linear system x = Ax has at least one nontrivial solution x(t) that satisfies lim x(t) = 0 t-40

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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4. Suppose that the square matrix A has a negative eigenvalue. Show that the linear system
x = Ax has at least one nontrivial solution x(t) that satisfies
lim x(t) = 0
t-40
Transcribed Image Text:4. Suppose that the square matrix A has a negative eigenvalue. Show that the linear system x = Ax has at least one nontrivial solution x(t) that satisfies lim x(t) = 0 t-40
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