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

## 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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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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