inverse
Syntax
Description
Examples
Laurent Matrix Inverse
Create the Laurent polynomials:
lpA = laurentPolynomial(Coefficients=[1 1],MaxOrder=1); lpB = laurentPolynomial(Coefficients=[1 1 0 1],MaxOrder=2); lpC = laurentPolynomial(Coefficients=[1],MaxOrder=1); lpD = laurentPolynomial(Coefficients=[1 0 0 1],MaxOrder=2);
Create the matrix lmat
= . Obtain the determinant of lmat
.
lmat = laurentMatrix(Elements={lpA,lpB;lpC,lpD}); det(lmat)
ans = laurentPolynomial with properties: Coefficients: 1 MaxOrder: -1
The determinant is a nonzero monomial. Obtain the inverse of lmat
. Inspect the elements of the inverse.
lmatinv = inverse(lmat); lmatinv.Elements{1,1}
ans = laurentPolynomial with properties: Coefficients: [1 0 0 1] MaxOrder: 3
lmatinv.Elements{1,2}
ans = laurentPolynomial with properties: Coefficients: [-1 -1 0 -1] MaxOrder: 3
lmatinv.Elements{2,1}
ans = laurentPolynomial with properties: Coefficients: -1 MaxOrder: 2
lmatinv.Elements{2,2}
ans = laurentPolynomial with properties: Coefficients: [1 1] MaxOrder: 2
Confirm the product of lmat
and its inverse is equal to the identity matrix.
matprod = lmat*lmatinv; matprod.Elements{1,1}
ans = laurentPolynomial with properties: Coefficients: 1 MaxOrder: 0
matprod.Elements{1,2}
ans = laurentPolynomial with properties: Coefficients: 0 MaxOrder: 0
matprod.Elements{2,1}
ans = laurentPolynomial with properties: Coefficients: 0 MaxOrder: 0
matprod.Elements{2,2}
ans = laurentPolynomial with properties: Coefficients: 1 MaxOrder: 0
Input Arguments
M
— Laurent matrix
laurentMatrix
object
Laurent matrix, specified as a laurentMatrix
object.
Output Arguments
R
— Inverse
laurentMatrix
object
Inverse of a Laurent matrix, returned as a laurentMatrix
object.
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
Version History
Introduced in R2021b
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