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\noindent Quiz 9

\noindent Math 230

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\noindent 1.  Find all eigenvalues of the matrix
$$
A = 
\left[
\begin{array}{ccc}
 -10 & -4 \\
 30 & 12 
\end{array}
\right].
$$
Then find {\it all} eigenvectors associated with each eigenvalue.
If $A$ is diagonalizable, then diagonalize it.  If not, explain why
not.  Finally, find $e^A$ (don't have to multiply out all matrices
in your answer).
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