In
mathematics, a unimodular polynomial matrix is a
square
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90- degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length a ...
polynomial matrix
In mathematics, a polynomial matrix or matrix of polynomials is a matrix whose elements are univariate or multivariate polynomials. Equivalently, a polynomial matrix is a polynomial whose coefficients are matrices.
A univariate polynomial matrix ' ...
whose
inverse exists and is itself a polynomial matrix. Equivalently, a polynomial matrix ''A'' is unimodular if its
determinant
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix. In particular, the determinant is nonzero if a ...
det(''A'') is a nonzero
constant.
References
*
* .
External links
Polynomial matrix glossary at Polyx (A matlab toolbox)
Matrices
Polynomials
{{Linear-algebra-stub