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Timeline for Importance of eigenvalues

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Dec 11, 2019 at 4:53 history edited J. W. Tanner CC BY-SA 4.0
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Mar 4, 2014 at 11:41 answer added user27182 timeline score: 5
Mar 3, 2014 at 14:13 answer added Paglia timeline score: 12
Sep 15, 2013 at 7:29 vote accept Hash
Sep 15, 2013 at 6:59 answer added Doc timeline score: 7
Apr 10, 2013 at 17:41 history edited Julien CC BY-SA 3.0
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Apr 10, 2013 at 17:39 answer added dineshdileep timeline score: 12
Apr 10, 2013 at 17:32 review First posts
Apr 10, 2013 at 17:39
Apr 10, 2013 at 17:31 comment added Douglas B. Staple Well, why are you calculating eigenvalues and eigenvectors?
Apr 10, 2013 at 17:23 comment added xavierm02 For some matrices, you have a basis of eigenvectors and that gives you a diagonal matrix in this basis. Let $A$ be the original matrix, $B$ the matrix in the eigenvectors basis and $P$ the change of basis matrix. You have $A=PBP^{-1}$. Then you can easily compute $A^n=(PBP^{-1})^n=PB^nP^{-1}$ since $B$ is diagonal so you just put that same exponent on its elements to compute $B^n$. They are useful in a more general case but it gets a bit more complicated.
Apr 10, 2013 at 17:19 comment added Ross Millikan You might look at Wikipedia
Apr 10, 2013 at 17:16 history asked Hash CC BY-SA 3.0