Project three graphs

posnegeigenvect

norealeigenvect

negieigenvector

dubposeigenvect

dubnegeigenvect

Today we were able to get graphs of the different roots – Dr. Davis showed us a technique in Mathematica that let the computer generate diffeent matrices for us. It saved a lot of time because we had discussed just playing with matrices to get the desired results. It was much faster and more efficient to use Mathematica. We had gotten stuck trying to graph the second to last eigenvectors, Dr. Davis looked at the code and was able to see our error and explained initializing cells which was also very enlightening and useful for future endeavors.

% this is how to find the exact solutions –> dsolve(‘Dy= the equation’, ‘t’)

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