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Scilab help >> Linear Algebra > det

# det

determinant

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))

### See Also

• detr — polynomial determinant
• determ — determinant of polynomial matrix

### Comments

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