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linalg(deprecated)

  

permanent

  

compute the permanent of a matrix

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

permanent(A)

Parameters

A

-

square matrix

Description

• 

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[Permanent], instead.

  

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

• 

The permanent of a matrix is computed in a way similar to the determinant. The permanent of an arbitrary 2x2 matrix, abcd, is ad+bc. To compute the permanent of larger matrices, minor expansion is used in the same manner as when computing determinants, only without alternating sign while expanding along a row or column.

• 

The command with(linalg,permanent) allows the use of the abbreviated form of this command.

Examples

Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[Permanent], instead.

withlinalg:

Amatrix1,2,3,4,5,6,7,8,9

A123456789

(1)

permanentA

450

(2)

Bmatrixa,b,c,d,e,f,g,h,i

Babcdefghi

(3)

permanentB

aei+afh+bdi+bfg+cdh+ceg

(4)

See Also

linalg(deprecated)[det]

LinearAlgebra