# eigenvalue

> English word · Noun · IPA /ˈaɪ.ɡənˌvæl.juː/ · frequency rank #60,786

## Definitions
1. A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.

## Etymology
From eigen- + value. Partial calque of German Eigenwert.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-09-03.
Canonical page: https://plainspell.com/en/word/eigenvalue