  | ### 5.1.129 rank `Syntax:` `rank (` matrix_expression `)` #*`rank (` matrix_expression `,1)` `Type:` int `Purpose:` returns the rank of a given matrix which is filled with elements of the ground field. The first variant uses a LU-decomposition, the second a row-echelon form. `Note:` The function works by computing the row echelon form of the matrix using the same algorithm as for `ludecomp`. `Example:`
        ring s = 0, x, dp;
        matrix A[100][100];
        int i; int j; int r;
        for (i = 1; i <= 100; i++)
        {
          for (j = 1; j <= 100; j++)
          {
            A[i, j] = random(-10, 10);
          }
        }
        r = rank(A); r;
      ==> 100
See ludecomp.

User manual for Singular version 4.4.0, 2024, generated by texi2html.