Consider the following nonhomogeneous system. dx dy - 5x + 9y + 5, dt = -x+ 11y + 15 dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K - (2.1) K2 Find the general solution of the given system. Ge(31) +c,M(2+3/1+1) +(-) 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 nonhomogeneous system.
dx
= 5x + 9y + 5,
dt
dy
= -x + 11y + 15
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
A = 8
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.)
K, =
(2,1)
K, =
Find the general solution of the given system.
x() - cge (31) + cge(2+3/1+ 1) + (-)
5
X(t) =
4.
4.
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Transcribed Image Text:Consider the following nonhomogeneous system. dx = 5x + 9y + 5, dt dy = -x + 11y + 15 dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) A = 8 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K, = (2,1) K, = Find the general solution of the given system. x() - cge (31) + cge(2+3/1+ 1) + (-) 5 X(t) = 4. 4. Need Help? Read It Watch It
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