# eigenvector

## English

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### Noun

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eigenvector (plural eigenvectors)

1. (linear algebra) A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context.
2. (physics, engineering) A right eigenvector; a nonzero vector ${\displaystyle x}$ such that, for a particular matrix ${\displaystyle A}$, ${\displaystyle Ax=\lambda x}$ for some scalar ${\displaystyle \lambda }$ which is its eigenvalue and an eigenvalue of the matrix.