Description
The permanent of a square matrix
N has the Laplace transform similar to the Laplace transform of the determinant of
N: but all signs are positive. Permanents are used in combinatorics and in probability. They are computationally difficult.
i1 : R = ZZ[a..f];
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i2 : M = genericMatrix(R,a,2,3)
o2 = | a c e |
| b d f |
2 3
o2 : Matrix R <-- R
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i3 : permanents(2,M)
o3 = ideal (b*c + a*d, b*e + a*f, d*e + c*f)
o3 : Ideal of R
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