= Capelli's identity
{wiki=Capelli's_identity}
Capelli's identity is a result in the field of algebra, specifically relating to determinants and matrices. It provides a way to express certain determinants, particularly those involving matrices formed by polynomial expressions. In its simplest form, Capelli's identity can be stated in terms of a square matrix whose entries are polynomials in variables. More formally, it relates the determinant of a matrix formed from the derivatives of polynomials to the determinant of a matrix derived from the polynomials themselves.
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