x′=   −2 1 −1 0   −3 −7 8 −1 1 −1 2 −1 6 −2 2 1x​; λ=−4​, −4​, 1​, 1       x(t)=enter your response here

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The eigenvalues of the coefficient matrix
A
are given. Find a general solution of the indicated system
x′=Ax.
Use of a computer algebra system may be useful.
 
x′=
  −2 1 −1 0  
−3 −7 8 −1
1 −1 2 −1
6 −2 2 1
x​;
λ=−4​,
−4​,
1​,
1
 
 
 
x(t)=enter your response here
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