 ##  [Geometric Multiplicity](/geometric-multiplicity) 

  ##  [Geometric Multiplicity](https://mathlogic.quantumdictionary.io/geometric-multiplicity-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

The geometric multiplicity of an eigenvalue is the dimension of its eigenspace: the subspace of vectors v such that (A − λI)v = 0. It counts the maximum number of linearly independent eigenvectors associated with that eigenvalue.

 
 ##  [Geometric Multiplicity](https://algebra.quantumdictionary.io/geometric-multiplicity-1) 

  
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- Pure Mathematics -

**Algebra Dictionary**

 
Definition

The dimension of the eigenspace associated to a given eigenvalue; equivalently, the number of linearly independent eigenvectors for that eigenvalue.