let the matrix A =
(10 | 10
-4 | -3)
Find the eigenvalues for A and for each find the corresponding eigenvector.
Also express A in the form PDP^-1
using your standard methods, see whether you come up with this:
http://www.wolframalpha.com/input/?i=eigenvalues+%7B%7B10,10%7D,%7B-4,-3%7D%7D