This is a Java applet which generates the N-by-N Hilbert matrix with elements A(i,j) = 1/(i+j-1), a famous example of a badly conditioned matrix. Its condition number grows like exp(3.5*N). It is symmetric positive definite and totally positive.

The inverse matrix is known and has integer entries. The applet will compute the inverse on demand.

This generator was developed by Bruce Miller of NIST based on Nick Higham's Test Matrix Toolbox for MATLAB.