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See the recommended documentation of this function

Scilab help >> Polynomials > determ

# determ

determinant of polynomial matrix

### Calling Sequence

`res=determ(W [,k])`

### Arguments

W

real square polynomial matrix

k

integer (upper bound for the degree of the determinant of W)

### Description

returns the determinant of a real polynomial matrix (computation made by FFT if W size is greater than 2*2).

`res=determ(W [,k])``k` is an integer larger than the actual degree of the determinant of `W`.

The default value of `k` is the smallest power of 2 which is larger than `n*max(degree(W))`.

Method (Only if W size is greater than 2*2) : evaluate the determinant of `W` for the Fourier frequencies and apply inverse FFT to the coefficients of the determinant.

### Examples

```s=poly(0,'s');
w=s*rand(10,10);
determ(w)
det(coeff(w,1))*s^10```

• det — determinant
• detr — polynomial determinant
• coffg — inverse of polynomial matrix