Gaussian EliminationDr. Motilal Panigrahi

By Naïve Gauss Elimination

25 5 1 106.8

64 8 1 177.2

144 12 1 279.2

By Naïve Gauss Elimination

25 5 1 106.8

64 8 1 177.2

144 12 1 279.2

25 5 1 106.8

R2-(64/25)R1 0 -4.8 -1.56 -96.208

R3-(144/25)R1 0 -16.8 -4.76 -335.968

25 5 1 106.8

0 -4.8 -1.56 -96.208

R3-(16.8/4.8)R2 0 0 0.7 0.76

a3 1.085714a2 19.69048a1 0.290476

Solve the following by partial pivoting

Find the entry in the left column with the largest absolute value. This is called the pivot.• As 1 is greater than 0.02, our pivot element is 1, and hence

interchange row 1 with row 2