# How to find eigenvalues and eigenvectors of a 4x4 matrix

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## Find All the Eigenvalues of 4 by 4 Matrix

Ex: Find the Eigenvalues of a 4x4 Matrix

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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. And if I have to conclude that these are the only eigenvalues, is there a theorem that argues how many eigenvalues a matrix can have? It helps to notice that this matrix comes from a graph. It is the so called Laplacian of a graph.

This page contains a routine that numerically finds the eigenvalues and eigenvectors of a 4 X 4 Real Matrix. The routine is written in Javascript; however, your browser appears to have Javascript disabled. To use the utility posted on this page, please enable Javascript. Smith, B. Boyle; J.

Where does the eigenvalue 17 come from? Keep going by expanding the determinant and in that way, keep factoring. The matrix is in upper.
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Add to solve later Contents. Tags: complex eigenvalue eigenvalue exam linear algebra Ohio State Ohio State. Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. Notify me of follow-up comments by email. Notify me of new posts by email. This site uses Akismet to reduce spam.

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Also where do I plug in this eigenvalue of 17 to find the eigenvector? Keep going by expanding the determinant and in that way, keep factoring.

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It helps to notice that this matrix comes from a graph. It is the so called other two points. Check that we get an eigenvector for eigenvalue 4.
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