COMPROBACIÓN

2x1+3X2+4X3=5

2(283/149)+3(-3/149)+4(47/149)

5 = 5

INVESTIGACIÓN OPERATIVA I Dr. Marlon Villa

MÉTODO DE GAUSS-JORDÁN

EJERCICIO 1

X= 283/149

Y= -3/149

Z= 47/149

unach. quinto semestre “A”

2x1+3X2+4X3=5

2x1+X2-5X3= 6

3x1-2X2+4X3=1

1 + 0 - 19/10 = 13/10

0 + 1 + 13/5 = 4/5

0 + 0 – 149/10 =47/10

1 - 3/2 + 2= 5/2

0 – 5 – 13 = -4

0- 13/2 -2 = -1/2

1

1 + 0 + 0 = 283/149

0 + 1 + 0 = -3/149

0 + 0 + 1 = 47/149

-4 -6 -8 = -10

4 +1 -5 = 6

0 - 3/2 -39/2 =-6/5

1 +3/2 +2 = 5 /2

-3 -9/2 -6 = -15/2

3 -2 4 7

0 0 -13/5 =-611/745

0 1 13/5 = 4/5

0 - 13/2 -169/10 =26/5

1 +13/2 +2 =-1 /2

0 0 19/10 = +893/1490

1 0 -19/10 = 13/10

INVESTIGACIÓN OPERATIVA I Dr. Marlon Villa

COMPROBACIÓN

2x+5y-2z= 10

2(693/284)+3(32/71)+4(-407/284)

10 =10

EJERCICIO 2

X= 693/284

Y= 32/71

Z=-407/284

unach. quinto semestre “A”

2

2x+5y-2z= 10

5x-2y+3z= 7

4x+6y+8z=1

1 + 0 + 11/29 = 55/29

0 + 1 + 16/29 = 36/29

0 + 0 – 284/29 =-407/29

1 + 5/2 - 1= 5

0 – 29/2 – 8 = -18

0 - 4 12 = -19

1 + 0 + 0 = 693/149

0 + 1 + 0 = 32/71

0 + 0 + 1 = -407/284

-5 -25/2 5 = -25

5 -2 3 = 7

0 - 5/2 40/29 =-20/29

1 5/2 -1 = 5

-4 -10 4 = -20

4 6 8 = 1

0 0 -11/29 = 4477/8236

1 0 11/29 = 55/29

0 4 -64/29 =144/29

1 -4 12 = -19

0 0 16/29 = -1628/2059

1 0 -16/29 = 36/29