d dy dE = 4x +57 = -4Х-ну a) find the characteristic equation b) solve for the eigenvalues c) solve for one eigenvector 디
d dy dE = 4x +57 = -4Х-ну a) find the characteristic equation b) solve for the eigenvalues c) solve for one eigenvector 디
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 29E
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solve the non-homogeneous system.
![LE
dy
de
= 4x +5y
=
-4x - 4y
a) find the characteristic equation
b) solve for the eigenvalues
solve for one
cJ
eigenvector
d) Write the eigenvector as a sum of 2 vectors (e.g., real part + imaginery pai
ej Determine the 2 solutions of the system
in matrix form
the system
f) Write out the general solution
of
as a linear combination of the 2 solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe462800b-ac16-4590-bafb-82d68c005ec5%2F272c0690-69da-442e-96de-9c4989b8cf6f%2Faa40j66_processed.png&w=3840&q=75)
Transcribed Image Text:LE
dy
de
= 4x +5y
=
-4x - 4y
a) find the characteristic equation
b) solve for the eigenvalues
solve for one
cJ
eigenvector
d) Write the eigenvector as a sum of 2 vectors (e.g., real part + imaginery pai
ej Determine the 2 solutions of the system
in matrix form
the system
f) Write out the general solution
of
as a linear combination of the 2 solutions.
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