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.
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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