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]

larger eigenvalue [math]

associated, eigenvector [math]

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

If [math]

** A. ** The solution curves converge to different points on parallel paths.** B. ** All of the solutions curves would converge towards 0. (Stable node)** C. ** The solution curves would race towards zero and then veer away towards infinity. (Saddle)** D. ** All of the solution curves would run away from 0. (Unstable node)** E. ** The solution curves diverge from different points on parallel paths.

Your overall score for this problem is