Consider the diagram below, characterizing the stability of 2D linear systems d = A.n
Poincare Diagram: Classification of Phase Portraits in the (det A, Tr A)-plane
spiral sink
source
degenerate sink
degenerate source
center
uniform motion
stable fixed points
saddle
unstable fixed points
It is given in terms of the trace and determinant of the system matrix. For each of the indicated points a) through e), tell me as much as you can about the eigenvalues of that matrix at each point:
T = 4