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\textbf{Math 325: Differential Equations}
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\textbf{Quiz 4}\quad \textsl{February 16, 2001}
 
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You may  use your own calculator.
You may not use anything else.  You may not pass a calculator 
to another person.

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Show all your work.  Erase or cross out any work you do not want graded.

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a) 
 Find all eigenvalues and eigenvectors of the matrix  
$$
A =\left[\begin{array}{rr} 1 & \sqrt 8\\ \sqrt 8 & -1\end{array} \right]
.
$$


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b) Is  $A\/$ 
diagonalizable?  If so, find a matrix  $T\/$ 
with  $T^{-1}AT\/$ 
diagonal.  If not, give a reason.  

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