For applications get a copy of Gilbert Strang's Introduction to Linear 
Algebra and read his Chapter 6 Eigenvalues and Eigenvectors.  The bad 
news is, this chapter starts on page 274.  You are expected to 
understand why he calls 2 2 $ 0.5 a projection matrix and 2 2 $ 0 1 1 0 
a reflection matrix.  The good news is, he never forgets applications, 
and his presentation of the math is first rate: "I try to explain rather 
than to deduce."  You begin to respect eigenvalues and eigenvectors when 
you see their application to systems of differential equations in 
section 6.3.

On 2/3/2012 5:03 PM, Don Guinn wrote:
>
> I would appreciate comments and suggestions and where to go to better
> understand the applications of Eigenvalues and Eigenvectors.
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