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What are eigenvectors?

What are eigenvectors? Here are some definitions.

Noun
  1. plural of eigenvector
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There is, however, a way to obtain the kinetic matrix from the experimental eigenvalues and the eigenvectors directly.
Eigenvalues and eigenvectors were computed by Jacobi rotation.
Upon diagonalization of C, a set of eigenvalues and eigenvectors is generated defining a new set of generalized coordinates.
Then they sorted the eigenvectors according to the eigenvalues and divided them into three subsets.
From the calculated eigenfrequencies and eigenvectors, statistical measures of motion can be derived.
In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.

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