detr

Arguments

h

square matrix of numbers or polynomials or rationals

d

scalar of the h's type.

Description

d=detr(h) computes the determinant d of the matrix h, according to the Leverrier's algorithm.

Examples

// Matrix of doubles
A = rand(5,5);
detr(A)

A = A+%i;
detr(A)

// Matrix of polynomials
x = poly(0, 'x')
A = [1+x 2 5; 3 4-x 3+x; x^2 1 x];
detr(A)

// Matrix of rationals
A = [1/x, 2, 3 ; 3, 4/x, 3/x ; 1/x^2, 1, 1/x];
detr(A)

--> detr(A)
 ans  =
   -2 -3x -6x² +9x³
   ----------------
          x³

See also

• det — determinant of a square matrix
• determ — determinant of a matrix of polynomials