eigenvaluePronunciation: /ˈʌɪgənˌvaljuː/Definition of eigenvalue noun Mathematics & Physics 1each of a set of values of a parameter for which a differential equation has a non-zero solution (an eigenfunction) under given conditions. 2any number such that a given matrix minus that number times the identity matrix has zero determinant. eigenvalue in other Oxford dictionaries Definition of eigenvalue in the US English dictionary