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))

See Also

• detr polynomial determinant
• determ determinant of polynomial matrix