##  [Symmetric Bilinear Form](/symmetric-bilinear-form) 

  ##  [Symmetric Bilinear Form](https://natural.quantumdictionary.io/symmetric-bilinear-form-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A symmetric bilinear form on a vector space V over a field F is a bilinear map B: V × V → F that satisfies B(u,v) = B(v,u) for all u,v ∈ V.