Q4: Phase Portraits for Linear Systems. (2.2, 3.3, 3.4, 3.5) I can convert between the phase portrait- of a linear system and information on the eigenvalues of the system. dY dt (a) Consider the phase portrait below showing solution curves for a linear system -AY. What can you conclude about the eigenvalues associated with the system? (b) Draw an approximate phase portrait a linear system with eigalus A-1 and A-3, with associated eigenvectors V₁- -B- and V₁ -0

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1. Q4: Phase Portraits for Linear Systems. (2.2, 3.3, 3.4, 3.5) I can convert between the phase portrait
of a linear system and information on the eigenvalues of the system.
dY
dt
(a) Consider the phase portrait below showing solution curves for a linear system - -AY. What
can you conclude about the eigenvalues associated with the system?
associated eigenvectors V₁-[1] =
(b) Draw an approximate phase portrait a linear system with eigenvalues A-1 and A-3, with
and V,
1
+
Transcribed Image Text:1. Q4: Phase Portraits for Linear Systems. (2.2, 3.3, 3.4, 3.5) I can convert between the phase portrait of a linear system and information on the eigenvalues of the system. dY dt (a) Consider the phase portrait below showing solution curves for a linear system - -AY. What can you conclude about the eigenvalues associated with the system? associated eigenvectors V₁-[1] = (b) Draw an approximate phase portrait a linear system with eigenvalues A-1 and A-3, with and V, 1 +
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