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This is going to be a very short chapter. The main topic of this chapter will be the
Eigenvalues and Eigenvectors section. In
this section we will be looking at special situations where given a square
matrix A and a vector x the product Ax will be the same as
the scalar multiplication 
for some scalar, . This idea has important applications in many
areas of math and science and so we put it into a chapter of its own.
We’ll also have a quick review of determinants since those
will be required in order to due the work in the Eigenvalues and Eigenvectors
section. We’ll also take a look at an
application that uses eigenvalues.
Here is a listing of the topics in this chapter.
Review of Determinants In this section we’ll do a quick review of
determinants.
Eigenvalues and Eigenvectors Here we will take a look at the main section
in this chapter. We’ll be looking at the
concept of Eigenvalues and Eigenvectors.
Diagonalization We’ll be looking at diagonalizable matrices in
this section.