Calculate the eigenvalues of this matrix:

[Note-- you'll probably want to use a calculator or computer to estimate the roots of the polynomial which defines the eigenvalues. You also may want to view a phase plane plot (right click to open in a new window).] ]

[math]

smaller eigenvalue [math]

associated eigenvector [math] [math] [math]

larger eigenvalue [math]

associated, eigenvector [math] [math] [math]


All of the solution curves would run away from 0. (Unstable node)

If [math] is a differential equation, how would the solution curves behave?








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