eigenvalue (plural eigenvalues)
- (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.
- The eigenvalues of a transformation matrix may be found by solving .
Usage notes 
When unqualified, as in the above example, eigenvalue conventionally refers to a right eigenvalue, charactarised by for some right eigenvector . Left eigenvalues, charactarised by also exist with associated left eigenvectors . For commutative operators, the left eigenvalues and right eigenvalues will be the same, and are referred to as eigenvalues with no qualifier.
Related terms