Consider the following system. x = ( ¹ )* X 1 5 -59 X Find the repeated eigenvalue of the coefficient matrix A(t). λ = Find an eigenvector for the corresponding eigenvalue. K= Find the general solution of the given system. X(t) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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Consider the following system.
1
*' - (²5) *
X
X
9
Find the repeated eigenvalue of the coefficient matrix A(t).
λ =
Find an eigenvector for the corresponding eigenvalue.
K=
Find the general solution of the given system.
X(t) =
Transcribed Image Text:Consider the following system. 1 *' - (²5) * X X 9 Find the repeated eigenvalue of the coefficient matrix A(t). λ = Find an eigenvector for the corresponding eigenvalue. K= Find the general solution of the given system. X(t) =
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