det

R2026b

Laurent matrix determinant

Syntax

d = det(A)

Description

d = det(A) returns the determinant of the Laurent matrix A.

Examples

Laurent Matrix Determinant

Create two Laurent polynomials:

• $$a(z)=6z^{-2}$$

• $$b(z)=z^3/6$$

lpA = laurentPolynomial(Coefficients=[6],MaxOrder=-2);
lpB = laurentPolynomial(Coefficients=[1/6],MaxOrder=3);

Create the Laurent matrix $\left[\begin{array}{cc}a\left(z\right)& 1\\ 1& b\left(z\right)\end{array}\right]$.

lmat = laurentMatrix(Elements={lpA 1; 1 lpB});

Obtain the determinant of lmat. Confirm the determinant is $$z-1$$.

d = det(lmat)

d = 
  laurentPolynomial with properties:

    Coefficients: [1 -1]
        MaxOrder: 1

Input Arguments

A — Laurent matrix

laurentMatrix object

Laurent matrix, specified as a laurentMatrix object.

Output Arguments

d — Determinant

laurentPolynomial object

Determinant of the Laurent matrix, returned as a laurentPolynomial object.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Thread-Based Environment

Run code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool.

The det function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.

Version History

Introduced in R2021b

R2026b: Use thread-based environments

You can use det in thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.