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5.1.22 det
Syntax:
det ( intmat_expression )
det ( matrix_expression )
det ( module_expression )
Type:
- int, resp. poly
Purpose:
- returns the determinant of a square matrix. A module is considered
as a matrix. The applied algorithms depend on type of input.
If the input is a module or matrix with symbolic entries the
Bareiss algorithm is used. In the other cases the chinese remainder
algorithm is used. For large sparse problems the input as a module
has advantages.
Example:
| | ring r=7,(x,y),wp(2,3);
matrix m[3][3]=1,2,3,4,5,6,7,8,x;
det(m);
==> -3x-1
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See
intmat;
matrix;
minor.
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