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I am currently struggling to get my head around what eigenvalues and eigenvectors truly are as Khan Academy says that eigenvalues are just a scalar by which a vector is scaled and the eigenvector is the resultant vector that is not equal to zero, but other sources say different things.

I was wondering whether someone would be able to provide a simple explanation of what eigenvalues and eigenvectors are, and it would be greatly appreciated if a visual supplement is provided. I need to learn these to find the general solution to a markov matrix and am becoming quite confused.

Thanks!

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    https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors#Overview – 2017-02-03
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    see http://math.stackexchange.com/questions/243533/how-to-intuitively-understand-eigenvalue-and-eigenvector?noredirect=1&lq=1 – 2017-02-03

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