`det'
-----

det(MAT[,MOD])
     :: MAT $B$N9TNs<0$r5a$a$k(B.

RETURN
     $B<0(B

MAT
     $B9TNs(B

MOD
     $BAG?t(B

   * $B9TNs(B MAT $B$N9TNs<0$r5a$a$k(B.

   * $B0z?t(B MOD $B$,$"$k;~(B, GF(MOD) $B>e$G$N9TNs<0$r5a$a$k(B.

   * $BJ,?t$J$7$N%,%&%9>C5nK!$K$h$C$F$$$k$?$a(B, $BB?JQ?tB?9`<0$r@.J,$H$9$k(B
     $B9TNs$KBP$7$F$O>.9TNs<0E83+$K$h$kJ}K!$N$[$&$,8zN($,$h$$>l9g$b$"$k(B.

     [91] A=newmat(5,5)$
     [92] V=[x,y,z,u,v];
     [x,y,z,u,v]
     [93] for(I=0;I<5;I++)for(J=0,B=A[I],W=V[I];J<5;J++)B[J]=W^J;
     [94] A;
     [ 1 x x^2 x^3 x^4 ]
     [ 1 y y^2 y^3 y^4 ]
     [ 1 z z^2 z^3 z^4 ]
     [ 1 u u^2 u^3 u^4 ]
     [ 1 v v^2 v^3 v^4 ]
     [95] fctr(det(A));
     [[1,1],[u-v,1],[-z+v,1],[-z+u,1],[-y+u,1],[y-v,1],[-y+z,1],[-x+u,1],[-x+z,1],
     [-x+v,1],[-x+y,1]]

$B;2>H(B
     *Note `newmat': newmat.

