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LU decomosition for ill-condition matrixes

hi.. i have a matrix like this:

             {
              1,      1/2,   1/3,   1/4,   1/5,
              1/6,    1/7,   1/8,   1/9,   1/10,
              1/11,   1/12,  1/13,  1/14,  1/15,
              1/16,   1/17,  1/18,  1/19,  1/20,
              1/21,   1/22,  1/23,  1/24,  1/25,
              };

and i shoud calculate its LU decomposition. is it one of ill-condition matrixes? if so which one of dolittle,cholesky or crout solution is suitable for this matrix?Blockquote