Consider this matrix that represents the discrete dynamical system \mathbf{x}_{k+1} =
D\mathbf{x}_k :

D = \left[\begin{array}{cc}
1 &1.7\cr
0 &0.1
\end{array}\right].

Find the eigenvalues ofD and write as a comma-separated list.

Classify the origin as an attractor, repeller, or saddle point?
?
attractor
repeller
saddle

Find the eigenvalues of

Classify the origin as an attractor, repeller, or saddle point?

You can earn partial credit on this problem.