- #1
zfolwick
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Homework Statement
consider the system
[tex]x' = \left[-1 & -1\\
-.5 & -1\right]x[/tex]
(I'm sorry I can't seem to get a new row in! the second line is [-.5 -1]
solve the system. What are the eigenvalues of the coefficient matrix? Classify the equilibrium point at the origin as to type.
Homework Equations
The Attempt at a Solution
I found the eigenvalues to be [tex]-1 \pm \sqrt{2}/2[/tex]
but solving the matrix for the eigenvalues is proving to be very difficult. MATLAB produces a result: v =
881/1079 881/1079
-780/1351 780/1351
for the command >> [v,d]=eig(A)
any help in an analytical solution would be appreciated.