function x = a123_null_left ( )

%*****************************************************************************80
%
%% A123_NULL_LEFT returns a left null vector of the A123 matrix.
%
%  Licensing:
%
%    This code is distributed under the GNU LGPL license.
%
%  Modified:
%
%    09 March 2015
%
%  Author:
%
%    John Burkardt
%
%  Parameters:
%
%    Output, real X(3,1), a left null vector.
%
  x = [ ...
     1.0; ...
    -2.0; ...
     1.0 ];

  return
end
