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See the recommended documentation of this function

Scilab manual >> Linear Algebra > det

# det

determinant

### Calling Sequence

```det(X)
[e,m]=det(X)```

### Arguments

X

real or complex square matrix, polynomial or rational matrix.

m

real or complex number, the determinant base 10 mantissae

e

integer, the determinant base 10 exponent

### Description

`det(X)` ( `m*10^e` is the determinant of the square matrix `X`.

For polynomial matrix `det(X)` is equivalent to `determ(X)`.

For rational matrices `det(X)` is equivalent to `detr(X)`.

### References

det computations are based on the Lapack routines DGETRF for real matrices and ZGETRF for the complex case.

### Examples

```x=poly(0,'x');
det([x,1+x;2-x,x^2])
w=ssrand(2,2,4);roots(det(systmat(w))),trzeros(w)   //zeros of linear system
A=rand(3,3);
det(A), prod(spec(A))```

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