##  [Algebraic Multiplicity (of an Eigenvalue)](/algebraic-multiplicity-eigenvalue) 

  ##  [Algebraic Multiplicity (of an Eigenvalue)](https://natural.quantumdictionary.io/algebraic-multiplicity-eigenvalue-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The algebraic multiplicity of an eigenvalue λ of a linear operator on a finite-dimensional vector space is its multiplicity as a root of the characteristic polynomial det(A − λI).