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    Eigenvectors, Eigenvalues, Critical Points and Trajectories in the Phase Plane

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    (i) Find eigenvalues and eigenvectors:
    (ii) Classify the critical point (0,0) as to type and determine whether it is stable or unstable:
    (iii) Sketch several trajectories in the phase plane.
    --> =(-7 10) -->
    x' (-5 8) x

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    https://brainmass.com/math/linear-algebra/eigenvectors-eigenvalues-critical-points-and-trajectories-in-the-phase-plane-59017

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    Eigenvectors, Eigenvalues, Critical Points and Trajectories in the Phase Plane are investigated. The solution is detailed and well presented.

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