Singular Manual: det

  | ### 5.1.23 det `Syntax:` `det (` intmat_expression `)` `det (` matrix_expression `)` `det (` smatrix_expression `)` `det (` matrix_expression `,` string_expression `)` `det (` smatrix_expression `,` string_expression `)` `Type:` int, resp. poly `Purpose:` returns the determinant of a square matrix. The applied algorithms depend on type of input or the optional second argument. The optional second argument specifies the algorithm to use. Possible values are `"Bareiss"`, `"SBareiss"`, `"Mu"` and `"Factory"`. `Example:`
        ring r=7,(x,y),wp(2,3);
        matrix m[3][3]=1,2,3,4,5,6,7,8,x;
        det(m);
      ==> -3x-1
See intmat; matrix; minor.

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