Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. 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.
 n. (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
Etymologies
Examples

I'm afraid we will never know as the eigenvalue of Monckton's complex number is imaginary, also known as 'Lord'.

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

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]]

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

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

"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

Reviewing What The Dog Saw for the New York Times, Pinker slapped Gladwell like this: He ... quotes an expert speaking about an \ "igon value\" (that\'s eigenvalue, a basic concept in linear algebra).
David Quigg: Malcolm Gladwell and the Case For Endless SelfGoogling

He ... quotes an expert speaking about an "igon value" (that's eigenvalue, a basic concept in linear algebra).
David Quigg: Malcolm Gladwell and the Case For Endless SelfGoogling
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