Lecture 11 - Linear Maps of the Plane

For today, we will discuss linear maps of the plane, leading to a classification that is quite similar to that of linear systems of ODEs, but with some important differences.  Once classified, we will use a particular example to highlight what divergence may mean for an orbit of a linear dynamical system in real two space and just how an orbit can go to infinity.  From this, we get a way to create a functional form for the elements of a Fibonacci (or similar) sequence. 

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