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).] ]


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?

Your overall score for this problem is