The Laj 4 Consider the following system dx dt = x +y +2 dy = 54 dt dz dt = 1/-2 Find the eigenvertors of the coefficient matrix A(t) find an K₁ = K₂= K3 = ) Find the general solution of the given system (X(t), y(t), 2(t)) = eigen vector for the corresponding eigenvalue

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 31EQ
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the La
Consider the following systern
dx
dt = x +y +2
dy = 54
dt
dt = 1-2
© Find the eigenvertors of the coefficient matrix A(z)
>=
» find an eigenvector for the corresponding eigenvaller
K₁ =
1₂ =
K3 =
Find the general solution of the given system
(X(t), y(t), 2(t)) =
Transcribed Image Text:the La Consider the following systern dx dt = x +y +2 dy = 54 dt dt = 1-2 © Find the eigenvertors of the coefficient matrix A(z) >= » find an eigenvector for the corresponding eigenvaller K₁ = 1₂ = K3 = Find the general solution of the given system (X(t), y(t), 2(t)) =
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