Word: eigenvalue
Part of speech: Noun
Syllables: ei
gen
val
ue
Definition: A scalar, \lambda, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator \mathrmA is equal to the image of x under multiplication by \lambda; i.e. \mathrmA x = \lambda x.
Morphemes:
Affix: eigen-
Language: en
PoS: Prefix
Meaning: Forms terms pertaining to or related to eigenvectors, eigenvalues; especially for naming mathematical objects which are not affected by a given transformation except for by scalar multiplication.
Etymology Compounds: Affix: eigen
Language: de
Decoded: eigen
Meaning: own
Affix: value
Language: en
PoS: Noun
Meaning: Any definite numerical quantity or other mathematical object, determined by being measured, computed, or otherwise defined.
Etymology Compounds: Affix: valeō
Language: la
Decoded: valeo
PoS: Verb
Meaning: I mean, signify (used of words or statements that have a certain force or power in meaning)