IntegerDeterminant - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

All Products    Maple    MapleSim


LinearAlgebra[Modular]

  

IntegerDeterminant

  

determinant of an integer matrix using modular methods

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

IntegerDeterminant(M)

Parameters

M

-

Square Matrix with integer entries

Description

• 

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](..).

Examples

A 3x3 matrix

(1)

(2)

A 100x100 matrix

(3)

(4)

See Also

LinearAlgebra/Details

LinearAlgebra[Determinant]

LinearAlgebra[Modular]

LinearAlgebra[RandomMatrix]

 


Download Help Document