I have no trouble calculating eigenvalues but I have a hard time understanding how to use them. I know that you can somehow calculate a bridge's self-frequency with eigenvalues but I don't know how.(adsbygoogle = window.adsbygoogle || []).push({});

What I am after is, what do eigenvectors and eigenvectors mean physically or in other ways?

I know if you have linear transformation then the eigenvectors are those vectors that are just scaled and not changed in direction.

I think PageRank does something with eigenvectors but I don't know how, what's the idea?

Some good(simple though) text problems to actually model something real would be helpful.

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# What does eigenvalues and eigenvectors mean?

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