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For math we were assigned a subject which we'd present during one class' hour in a group. My group got "Eigenvalues & eigenvectors". So basically first I have to give the definition and explain what it actually is (AX = [tex]\lambda[/tex]X) and then we can spend the rest of the 45 min on making class exercises on this new subject and (something I think welcome to eigenvalues) showing an application of it, to make it less abstract.

Any ideas of how I could present this?

I read somewhere it's used for the Schrödinger equation -- a very interesting piece of science, but I don't think that's something you "show to the aid of eigenvalues".

I was thinking, maybe I could start by drawing a two-dimensional plane with an x and y axis and lead to eigenvalues from the geometrical point of view

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# Eigenvalues and -vectors in class

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