Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • noun The factor by which the magnitude of an eigenvector is changed by a given transformation.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun linear algebra The change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar factor by which an eigenvector is multiplied under such a transformation.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant

Etymologies

from The American Heritage® Dictionary of the English Language, 4th Edition

[Partial translation of German Eigenwert : eigen-, peculiar, characteristic (from eigen, own, from Middle High German, from Old High German eigan; see aik- in Indo-European roots) + Wert, value.]

from Wiktionary, Creative Commons Attribution/Share-Alike License

eigen- +‎ value

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