##  [Geometric Multiplicity (of an Eigenvalue)](/index.php/geometric-multiplicity-eigenvalue) 

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

  

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Definition

For a linear operator or matrix and a given eigenvalue λ, the geometric multiplicity is the dimension of the eigenspace ker(A−λI), i.e., the number of linearly independent eigenvectors associated with λ.