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permanent

? permanent ;

([0,A6,0,0,A12],[F1,0...

Calculate

permanent

? permanent ;

([0,A6,0,0,A12],[F1,0...

Calculate

permanent

? permanent ;

([0,A6,0,0,A12],[F1,0...

Calculate

permanent

? permanent ;

([2,2],[3,2]);

([0,M16,0,0,M1-12],[M...

Calculate

permanent

? permanent;

Calculate

permanent

? permanent ;

([0,M16,0,0,M1-12],[M...

Calculate

permanent

? permanent ;

([2,2],[3,2]);

Calculate

permanent

? permanent ;

([2,2],[3,2]);

([0,M16,0,0,M1-12],[M...

Calculate

permanent

? permanent ;

([2,2],[3,2]);

([0,M16,0,0,M1-12],[M...

Calculate

permanent

? permanent ;

([1,1,1,1,1],[1,1,1,1...

Calculate

permanent

Run Example
(%i1)a: matrix([1,1,1,0,0,0,0,0,0,0,0,0],[1,1,0,1,0,0,0,0,0,0,0,0],[1,0,1,1,1,0,0,0,0,0,0,0],[0,1,1,1,0,1,0,0,0,0,0,0],[0,0,1,0,1,1,1,0,0,0,0,0],[0,0,0,1,1,1,0,1,0,0,0,0],[0,0,0,0,0,0,1,1,1,0,0,0],[0,0,0,0,0,0,1,1,0,1,0,0],[0,0,0,0,0,0,1,0,1,1,1,0],[0,0,0,0,0,0,0,1,1,1,0,1],[0,0,0,0,0,0,0,0,1,0,1,1],[0,0,0,0,0,0,0,0,0,1,1,1]);
                    [ 1  1  1  0  0  0  0  0  0  0  0  0 ]
                    [                                    ]
                    [ 1  1  0  1  0  0  0  0  0  0  0  0 ]
                    [                                    ]
                    [ 1  0  1  1  1  0  0  0  0  0  0  0 ]
                    [                                    ]
                    [ 0  1  1  1  0  1  0  0  0  0  0  0 ]
                    [                                    ]
                    [ 0  0  1  0  1  1  1  0  0  0  0  0 ]
                    [                                    ]
                    [ 0  0  0  1  1  1  0  1  0  0  0  0 ]
(%o1)               [                                    ]
                    [ 0  0  0  0  0  0  1  1  1  0  0  0 ]
                    [                                    ]
                    [ 0  0  0  0  0  0  1  1  0  1  0  0 ]
                    [                                    ]
                    [ 0  0  0  0  0  0  1  0  1  1  1  0 ]
                    [                                    ]
                    [ 0  0  0  0  0  0  0  1  1  1  0  1 ]
                    [                                    ]
                    [ 0  0  0  0  0  0  0  0  1  0  1  1 ]
                    [                                    ]
                    [ 0  0  0  0  0  0  0  0  0  1  1  1 ]
(%i2) b: permanent(a);
(%o2)/R/                             1024
(%i3) 
Run Example
a: matrix([.8823, 0.2, 1, 0.333],[5, 0.325, 5, 3], [1, 0.2, 1, 0.333],[3, 0.333, 3, 0.833]);
                          [ 0.8823   0.2   1  0.333 ]
                          [                         ]
                          [   5     0.325  5    3   ]
(%o1)                     [                         ]
                          [   1      0.2   1  0.333 ]
                          [                         ]
                          [   3     0.333  3  0.833 ]
(%i2) b: permanent(a);

rat: replaced 0.8823 by 7841/8887 = 0.88229998874761

rat: replaced 0.2 by 1/5 = 0.2

rat: replaced 0.333 by 333/1000 = 0.333

rat: replaced 0.325 by 13/40 = 0.325

rat: replaced 0.2 by 1/5 = 0.2

rat: replaced 0.333 by 333/1000 = 0.333

rat: replaced 0.333 by 333/1000 = 0.333

rat: replaced 0.833 by 833/1000 = 0.833
                                  4448189401
(%o2)/R/                          ----------
                                  222175000
(%i3) 
Run Example
a: matrix([1,0,0,1],[0,1,0,1],[0,0,5,0],[1,1,0,1]);
                                [ 1  0  0  1 ]
                                [            ]
                                [ 0  1  0  1 ]
(%o1)                           [            ]
                                [ 0  0  5  0 ]
                                [            ]
                                [ 1  1  0  1 ]
(%i2) permanent(a);
(%o2)/R/                              15
(%i3) determinant(a);
(%o3)                                 - 5
(%i4) 
[apply,do,first,genmatrix,kill,makelist,ordergreatp,permanent,permutations,print,random,rest,row,sort,sum] [ceiling,col,do,endcons,float,genmatrix,kill,makelist,min,permanent,print,random,row,sort,sqrt,transpose] [ceiling,do,float,genmatrix,kill,makelist,ordergreatp,permanent,print,random,row,sort,sqrt,sum] [ceiling,do,float,genmatrix,kill,permanent,print,random,row,sqrt] [ceiling,do,float,genmatrix,kill,permanent,random,row,sqrt] [col,cons,endcons,genmatrix,kill,min,permanent,print,random,row,sort,sqrt,transpose] [col,disp,genmatrix,min,numer,permanent,random,row,sort,sqrt,transpose] [col,do,endcons,genmatrix,kill,makelist,min,permanent,print,random,row,sort,sqrt,transpose] [col,do,endcons,genmatrix,kill,min,permanent,print,random,row,sort,sqrt,transpose] [col,genmatrix,min,numer,permanent,print,random,row,sort,sqrt,transpose] [col,genmatrix,min,numer,permanent,random,row,sort,sqrt,transpose] [col,genmatrix,numer,permanent,random,row,sort,sqrt,transpose] [col,genmatrix,numer,permanent,random,row,sqrt,transpose] [determinant,echelon,matrix,permanent] [determinant,invert,matrix,permanent] [determinant,matrix,permanent] [do,first,genmatrix,kill,makelist,max,ordergreatp,permanent,permutations,print,random,rest,row,sort,sum] [do,first,genmatrix,kill,makelist,min,ordergreatp,permanent,permutations,print,random,rest,row,sort,sum] [do,float,genmatrix,kill,permanent,print,random,row,sqrt] [do,genmatrix,kill,makelist,ordergreatp,permanent,print,random,row,sort,sum] [do,genmatrix,kill,numer,permanent,print,random,row,sqrt] [do,genmatrix,permanent,random] [eigenvalues,eigenvectors,matrix,permanent] [eigenvalues,matrix,permanent] [expand,matrix,permanent] [float,matrix,permanent] [genmatrix,make_random_state,permanent,random] [genmatrix,numer,permanent,random,row,sqrt] [genmatrix,permanent,random,row,sqrt] [genmatrix,permanent,random] [invert,matrix,permanent] [linsolve,matrix,permanent] [matrix,minor,permanent] [matrix,permanent,trace] [matrix,permanent,transpose] [matrix,permanent] [permanent]

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