##  [Sylvester Matrix](/sylvester-matrix) 

  ##  [Sylvester Matrix](https://algebra.quantumdictionary.io/sylvester-matrix-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 structured Toeplitz-like matrix built from coefficient vectors of two univariate polynomials whose determinant equals their resultant. Rows consist of shifted copies of the polynomials' coefficient sequences so that linear dependence of columns corresponds to a common root.