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/ShareAlike License.
 noun linear algebra The change in
magnitude of avector that does not change in direction under a givenlinear transformation ; a scalar factor by which aneigenvector 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
from Wiktionary, Creative Commons Attribution/ShareAlike License
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Examples

I'm afraid we will never know as the eigenvalue of Monckton's complex number is imaginary, also known as 'Lord'.
Monckton jumps the land shark. Gets eaten EliRabett 2010

Realistically, Pinker would have bludgeoned Gladwell with something else if he'd corrected the spelling of "eigenvalue" in time for the book.
David Quigg: Malcolm Gladwell and the Case For Endless SelfGoogling 2009

Had someone noticed, "igon value" could have been switched to "eigenvalue" in time to deny Pinker the mocking bludgeon of the "Igon Value Problem."
David Quigg: Malcolm Gladwell and the Case For Endless SelfGoogling 2009

It came as a result of his dissatisfaction with the quantum condition in Bohr's orbit theory and his belief that atomic spectra should really be determined by some kind of eigenvalue problem.

An '' 'eigenvalue' '' of a square [[matrix]] A is a [[complex number]]
Conservapedia  Recent changes [en] Ed Poor 2010

An '' 'eigenvalue' '' of a square [[matrix]] A is a [[complex number]]
Conservapedia  Recent changes [en] Ed Poor 2010

Realistically, Pinker would have bludgeoned Gladwell with something else if he'd corrected the spelling of "eigenvalue" in time for the book.

This is in reference to a faulty transcription of "eigenvalue" Gladwell makes in an article about Nassim Taleb.
SEEDMAGAZINE.COM 2009

"eigenvalue" in time to deny Pinker the mocking bludgeon of the "Igon Value Problem."

Transcendental equations came up many times as mathematical physics developed — especially in boundary value and eigenvalue problems.
Wolfram Blog : Mathematica 7, Johannes Kepler, and Transcendental Roots 2008
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