LinearAlgebra[Modular]
IntegerDeterminant
determinant of an integer matrix using modular methods
Calling Sequence
Parameters
Description
Examples
IntegerDeterminant(M)
M
-
Square Matrix with integer entries
The IntegerDeterminant function computes the determinant of the integer matrix M. This is a programmer level function, it does not perform argument checking. Thus, argument checking must be handled external to this function.
Note: The IntegerDeterminant command uses a probabilistic approach that achieves great gains for structured systems. Information on controlling the probabilistic behavior can be found in _EnvProbabilistic.
This function is used by the Determinant function in the LinearAlgebra package when a Matrix is determined to contain only integer entries.
This command is part of the LinearAlgebra[Modular] package, so it can be used in the form IntegerDeterminant(..) only after executing the command with(LinearAlgebra[Modular]). However, it can always be used in the form LinearAlgebra[Modular][IntegerDeterminant](..).
A 3x3 matrix
A 100x100 matrix
See Also
LinearAlgebra/Details
LinearAlgebra[Determinant]
LinearAlgebra[RandomMatrix]
Download Help Document