============================================================= Results ============================================================= After Gaussian elimination, the obtained upper triangular coefficient matrix is as follows: New A= 6.0000 2.0000 -8.0000 4.0000 0.0000 4.0000 8.0000 -10.0000 0.0000 0.0000 12.0000 -2.0000 0.0000 0.0000 0.0000 16.1667 and the obtained right-hand-side vector is as follows: New b= 7.0000 -13.5000 -1.7500 15.5625 The obtained solution is as follows: x= 0.8769 -0.9976 0.0146 0.9626 where, the numbers at above are accurated to four decimal digits.