function a = ill3_matrix ( )

%*****************************************************************************80
%
%% ill3_matrix() returns the ILL3 matrix.
%
%  Example:
%
%    -149  -50 -154
%     537  180  546
%     -27   -9  -25
%
%  Properties:
%
%    A is integral, therefore det ( A ) is integral, and 
%    det ( A ) * inverse ( A ) is integral.
%
%    The eigenvalues are ( 1, 2, 3 ).
%
%    A is not diagonally dominant.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    17 July 2008
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    Joan Westlake,
%    A Handbook of Numerical Matrix Inversion and Solution of 
%    Linear Equations,
%    John Wiley, 1968,
%    ISBN13: 978-0471936756,
%    LC: QA263.W47.
%
%  Output:
%
%    real A(3,3), the matrix.
%
  a = [ ...
    -149.0,  -50.0, -154.0; ...
     537.0,  180.0,  546.0; ...
     -27.0,   -9.0,  -25.0 ];

  return
end

