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Here's a Mth 254 note which is relevant to Mth 232:
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1996 Fall Mth 254 Of Rabbits, Graphs and Eigenvalues
PDF,
74 KB, 5 pages
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Leonardo of Pisa, also known as Fibonacci, lived about 1170 to 1250.
In 1202 he published the Liber Abaci in which he introduced
Arabic, Arabic-Greek, and Hindu arithmetic, geometry, algebra, and
the decimal place-value system to Europe. In the same text he introduced
a model for the propogation of rabbits, a model which leads to the
celebrated Fibonacci numbers. In this note we obtain the Binet formula
for the Fibonacci numbers as an application of the notion of eigenvalues.
As a second application of eigenvalues we see how to obtain formulae
for the number of paths of a given length in a graph.
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