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What does eigenvector mean?

Looking for the meaning or definition of the word eigenvector? Here's what it means.

Noun
  1. (linear algebra) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context.
  2. (physics) A right eigenvector; a nonzero vector
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The composition matrix is expected to represent the eigenvector matrix of the unknown kinetic matrix.
A recent method was defined by Cloude, who use eigenvector decomposition of the coherency matrix to identify dominant scattering mechanisms.
Eigenvalue, eigenfunction, eigenvector, and related terms, Earliest Known Uses of Some of the Words of Mathematics.
Eigenvector centrality is obtained based on the connectivity of neighbouring nodes.
A parameter derived in the Cloude eigenvector decomposition of the coherency matrix to describe the importance of the secondary scattering mechanisms.
In fact, we will prove the slightly stronger result that any number of commuting square matrices with complex entries have a common eigenvector.

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