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  1. How to intuitively understand eigenvalue and eigenvector?

    When you use eigenvector and eigenvalue analysis on a different sort of matrix, like the adjacency matrix for a directed acyclic graph representing links between websites, you can …

  2. Real life examples for eigenvalues / eigenvectors

    It allows people to find important subsystems or patterns inside noisy data sets. One such method is spectral clustering which uses the eigenvalues of a the graph of a network. Even the …

  3. linear algebra - finding eigenvectors given eigenvalues

    How can this be solved to get the eigenvector: $[v_1 v_2]^T$? ... ^T$ is an eigenvector corresponding to ...

  4. What is the importance of eigenvalues/eigenvectors?

    Feb 23, 2011 · "Having an eigenvalue is an accidental property of a real matrix (since it may fail to have an eigenvalue), but every complex matrix has an eigenvalue."(Wikipedia) Eigenvalues …

  5. Eigenvalues are unique? - Mathematics Stack Exchange

    As pointed out in the answer, we don't say there's one eigenvector for each eigenvalue. Multiplying the eigenvector by a scalar gives you another eigenvector, for example. Its also …

  6. reference request - A simple explanation of eigenvectors and ...

    May 3, 2011 · The change in size would be the "Eigenvalue", like an Eigenvalue of 2 indicates that the length of the Eigenvector had doubled after transformation and 1/2 would mean it had …

  7. Eigenvalues with no eigenvectors - Mathematics Stack Exchange

    Jul 1, 2019 · As Draconis wrote, the usual definition of an eigenvalue already states that there's an eigenvector. But let's assume you do an unusual definition that says “an eigenvalue is a …

  8. linear algebra - Why is PageRank an eigenvector problem?

    Mar 26, 2019 · Hopefully an infinite exponent, in fact. So the diagonal matrix comes to be dominated by the largest (original) eigenvalue, and so too does the ultimate link-following …

  9. What is the difference between "singular value" and "eigenvalue"?

    Apr 21, 2017 · is singular value just another name for eigenvalue? No, singular values & eigenvalues are different. What is the difference between Singular Value and Eigenvalue? …

  10. linear algebra - How do we find eigenvalues from given …

    May 13, 2015 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

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