ex3

Gauss Elimination
JUSTIN GARZA

2 8 3
3 9 2
6 4 4

STEP 1: Create first pivot
1/2R1 = new R1

1 4 (3/2)
3 9 2
6 4 4

STEP 2: Make (2,1) a zero
-3R1 + R2 = R2

1 4 (3/2)
0 -3 (-5/2)
6 4 4

STEP 3: Make (3,1) a zero
-6R1 + R3 = R3

1 4 (3/2)
0 -3 (-5/2)
0 -28 (-10/2)

STEP 4: Make a pivot on (2,2)
-1/3R2 = R2

1 4 (3/2)
0 1 (5/6)
0 -28 (-10/2)

STEP 5: Make (3,2) a zero
28R2 + R3 = R3

1 4 (3/2)
0 1 (5/6)
0 0 (-280/2)

STEP 6: Make (3,3) a pivot
(-2/280)R3 = R3

1 4 (3/2)
0 1 (5/6)
0 0 1

JUSTIN GARZA

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