MathLiveEigenvalue equation
A nonzero vector v is an eigenvector of the linear map or matrix A when applying A only stretches it by a scalar factor lambda, which is the corresponding eigenvalue. It is used to find invariant directions in linear algebra, differential equations, and quantum mechanics.
A\boldsymbol{v} = \lambda \boldsymbol{v}What the symbols mean
| square matrix or linear map acting on a vector space | |
| nonzero eigenvector | |
| eigenvalue, a scalar |
About this formula
- FieldMathematics
- TopicLinear algebra
- LevelUniversity
- Also calledeigenvector equation, eigenvalue problem, eigenvalues and eigenvectors, eigenvector definition, matrix eigenvalue, eigenvalue and eigenvector
- SourceWikidata Q190524
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