##  [Matrix Algebra](/matrix-algebra) 

  ##  [Matrix Algebra](https://algebra.quantumdictionary.io/matrix-algebra-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The associative algebra consisting of all n-by-n matrices over a fixed ring or field with entrywise addition and usual matrix multiplication, commonly denoted M_n(R) or M_n(F).