Cramer 5x5 Parte 3 Final-Comprob

21
+ 4 + 12 + 6 + 8 + 1 = + 6 + 4 + 12 + 6 + 8 + 1 - 8 - 6 - 9 + 6 + 2 = - 23 - 8 - 6 - 9 + 6 + 2 + 6 + 5 - 4 + 5 + 3 = + 10 + 6 + 5 - 4 + 5 + 3 - 5 + 4 + 2 - 1 + 4 = + 3 - 5 + 4 + 2 - 1 + 4 ### + 5 + 3 + 6 + 3 = - 15 ### + 5 + 3 + 6 + 3 - 6 - 9 + 6 + 2 = ### + 4 + 5 - 4 + 5 + 3 = ### + 4 + 2 - 1 + 4 = ### + 5 + 3 + 6 + 3 = ### = 0.0 - 4 + 5 + 3 - 6 + 2 - 1 + 4 + 3 + 6 + 3 + 4 + 24 - 6 - 16 0 = + 6 - 8 - 12 + 9 - 12 0 = - 23 + 5 + 5 + 3 + 6 + 10 + 4 - 10 0 = + 10 + 9 + 4 - 1 + 4 - 5 + 8 - 2 + 2 0 = + 3 + 5 + 6 + 3 - 10 + 10 - 3 - 12 0 = - 15 + 5 - 4 + 3 + 6 = + 6 + 6 + 4 + 2 + 4 - 23 = - 23 + 5 + 3 + 3 + 10 = + 10 + 3 = + 3 + 5 - 4 + 5 - 15 = - 15 - 2 + 4 + 2 - 1 + 5 + 3 + 6 - 8 - 9 + 6 + 2 ### + 6 - 4 + 5 + 3 - 5 + 2 - 1 + 4 - 10 + 3 + 6 + 3 - 4 + 5 + 3 - 8 + 2 - 1 + 4 + 3 + 6 + 3 + 6 + 5 + 3 + 9 - 5 - 1 + 4 ### + 6 + 3 E1 x1 x2 x3 x4 x5 E2 x1 x2 x3 x4 x5 E3 x1 x2 x3 x4 x5 DP = E4 x1 x2 x3 x4 x5 E5 x1 x2 x3 x4 x5 x1 x2 x3 x4 x5 E1 E2 E3 E4 E5 E1 E2 E3 E4 E5 Solución Comprobación

description

apuntes

Transcript of Cramer 5x5 Parte 3 Final-Comprob

Page 1: Cramer 5x5 Parte 3 Final-Comprob

+ 4 + 12 + 6 + 8 + 1 = + 6 + 4 + 12 + 6 + 8 + 1

- 8 - 6 - 9 + 6 + 2 = - 23 - 8 - 6 - 9 + 6 + 2

+ 6 + 5 - 4 + 5 + 3 = + 10 + 6 + 5 - 4 + 5 + 3

- 5 + 4 + 2 - 1 + 4 = + 3 - 5 + 4 + 2 - 1 + 4

- 10 + 5 + 3 + 6 + 3 = - 15 - 10 + 5 + 3 + 6 + 3

- 6 - 9 + 6 + 2

= + 1.0 + 4 + 5 - 4 + 5 + 3

= + 2.0 + 4 + 2 - 1 + 4

= - 1.0 + 5 + 3 + 6 + 3

= - 2.0

= 0.0 - 4 + 5 + 3- 6 + 2 - 1 + 4 = + 12

+ 3 + 6 + 3

+ 4 + 24 - 6 - 16 0 = + 6

- 8 - 12 + 9 - 12 0 = - 23 + 5 + 5 + 3

+ 6 + 10 + 4 - 10 0 = + 10 + 9 + 4 - 1 + 4 = - 15

- 5 + 8 - 2 + 2 0 = + 3 + 5 + 6 + 3

- 10 + 10 - 3 - 12 0 = - 15+ 5 - 4 + 3

+ 6 = + 6 + 6 + 4 + 2 + 4 = + 30

- 23 = - 23 + 5 + 3 + 3

+ 10 = + 10

+ 3 = + 3 + 5 - 4 + 5

- 15 = - 15 - 2 + 4 + 2 - 1 = + 60+ 5 + 3 + 6

- 8 - 9 + 6 + 2- 12 + 6 - 4 + 5 + 3

- 5 + 2 - 1 + 4- 10 + 3 + 6 + 3

- 4 + 5 + 3- 8 + 2 - 1 + 4 = + 12

+ 3 + 6 + 3

+ 6 + 5 + 3+ 9 - 5 - 1 + 4 = - 18

- 10 + 6 + 3

+ 6 - 4 + 3+ 6 - 5 + 2 + 4 = + 36

- 10 + 3 + 3

E1 x1 x2 x3 x4 x5

E2 x1 x2 x3 x4 x5

E3 x1 x2 x3 x4 x5 DP =

E4 x1 x2 x3 x4 x5

E5 x1 x2 x3 x4 x5

x1

x2

x3

x4

x5

E1

E2

E3

E4

E5

E1

E2

E3

E4

E5

Solución

Comprobación

Page 2: Cramer 5x5 Parte 3 Final-Comprob

+ 6 - 4 + 5- 2 - 5 + 2 - 1 = + 72

- 10 + 3 + 6

- 8 - 6 + 6 + 2+ 6 + 6 + 5 + 5 + 3

- 5 + 4 - 1 + 4- 10 + 5 + 6 + 3

+ 5 + 5 + 3- 8 + 4 - 1 + 4 = - 15

+ 5 + 6 + 3

+ 6 + 5 + 3+ 6 - 5 - 1 + 4 = - 18

- 10 + 6 + 3

+ 6 + 5 + 3+ 6 - 5 + 4 + 4 = + 72

- 10 + 5 + 3

+ 6 + 5 + 5- 2 - 5 + 4 - 1 = + 144

- 10 + 5 + 6

- 8 - 6 - 9 + 2- 8 + 6 + 5 - 4 + 3

- 5 + 4 + 2 + 4- 10 + 5 + 3 + 3

+ 5 - 4 + 3- 8 + 4 + 2 + 4 = + 30

+ 5 + 3 + 3

+ 6 - 4 + 3+ 6 - 5 + 2 + 4 = + 36

- 10 + 3 + 3

+ 6 + 5 + 3- 9 - 5 + 4 + 4 = + 72

- 10 + 5 + 3

+ 6 + 5 - 4- 2 - 5 + 4 + 2 = + 72

- 10 + 5 + 3

- 8 - 6 - 9 + 6

Page 3: Cramer 5x5 Parte 3 Final-Comprob

+ 1 + 6 + 5 - 4 + 5- 5 + 4 + 2 - 1

- 10 + 5 + 3 + 6

+ 5 - 4 + 5- 8 + 4 + 2 - 1 = + 60

+ 5 + 3 + 6

+ 6 - 4 + 5+ 6 - 5 + 2 - 1 = + 72

- 10 + 3 + 6

+ 6 + 5 + 5- 9 - 5 + 4 - 1 = + 144

- 10 + 5 + 6

+ 6 + 5 - 4- 6 - 5 + 4 + 2 = + 72

- 10 + 5 + 3

Page 4: Cramer 5x5 Parte 3 Final-Comprob

+ 6 + 12 + 6 + 8 + 1

- 23 - 6 - 9 + 6 + 2

- 381 + 10 + 5 - 4 + 5 + 3

+ 3 + 4 + 2 - 1 + 4

- 15 + 5 + 3 + 6 + 3

- 6 - 9 + 6 + 2

CF1= - 7632 + 6 + 5 - 4 + 5 + 3

+ 4 + 2 - 1 + 4

+ 5 + 3 + 6 + 3

- 4 + 5 + 3+ 60 + 36 + 9 - 30 + 96 = - 1098 - 6 + 2 - 1 + 4 = + 12

+ 3 + 6 + 3

+ 5 + 5 + 3

+ 100 + 72 + 15 - 60 - 120 = - 72 + 9 + 4 - 1 + 4 = - 15

+ 5 + 6 + 3

+ 5 - 4 + 3

- 80 + 36 - 30 + 48 - 60 = - 336 + 6 + 4 + 2 + 4 = + 30

+ 5 + 3 + 3

+ 5 - 4 + 5

+ 20 + 60 - 50 + 96 + 15 = - 402 - 2 + 4 + 2 - 1 = + 60+ 5 + 3 + 6

- 23 - 9 + 6 + 2CF2= + 54756 - 12 + 10 - 4 + 5 + 3

+ 3 + 2 - 1 + 4- 15 + 3 + 6 + 3

- 4 + 5 + 3+ 60 + 36 + 9 - 30 + 96 = - 1464 - 23 + 2 - 1 + 4 = + 12

+ 3 + 6 + 3

+ 10 + 5 + 3- 200 - 90 - 30 + 75 - 144 = - 3663 + 9 + 3 - 1 + 4 = - 30

- 15 + 6 + 3

+ 10 - 4 + 3+ 160 - 45 + 60 - 60 - 72 = + 474 + 6 + 3 + 2 + 4 = + 60

- 15 + 3 + 3

DP = Dx1 =

Page 5: Cramer 5x5 Parte 3 Final-Comprob

+ 10 - 4 + 5- 40 - 75 + 100 - 120 + 18 = + 90 - 2 + 3 + 2 - 1 = + 120

- 15 + 3 + 6

- 23 - 6 + 6 + 2CF3= - 24264 + 6 + 10 + 5 + 5 + 3

+ 3 + 4 - 1 + 4- 15 + 5 + 6 + 3

+ 5 + 5 + 3+ 100 + 72 + 15 - 60 - 120 = + 64 - 23 + 4 - 1 + 4 = - 15

+ 5 + 6 + 3

+ 10 + 5 + 3- 200 - 90 - 30 + 75 - 144 = - 2442 + 6 + 3 - 1 + 4 = - 30

- 15 + 6 + 3

+ 10 + 5 + 3- 200 - 75 + 120 + 75 - 120 = - 768 + 6 + 3 + 4 + 4 = + 120

- 15 + 5 + 3

+ 10 + 5 + 5+ 50 - 125 + 200 + 150 + 30 = - 898 - 2 + 3 + 4 - 1 = + 240

- 15 + 5 + 6

- 23 - 6 - 9 + 2CF4= - 17760 - 8 + 10 + 5 - 4 + 3

+ 3 + 4 + 2 + 4- 15 + 5 + 3 + 3

+ 5 - 4 + 3- 80 + 36 - 30 + 48 - 60 = + 448 - 23 + 4 + 2 + 4 = + 30

+ 5 + 3 + 3

+ 10 - 4 + 3+ 160 - 45 + 60 - 60 - 72 = + 474 + 6 + 3 + 2 + 4 = + 60

- 15 + 3 + 3

+ 10 + 5 + 3- 200 - 75 + 120 + 75 - 120 = + 1152 - 9 + 3 + 4 + 4 = + 120

- 15 + 5 + 3

+ 10 + 5 - 4- 100 + 100 - 160 + 75 - 60 = + 146 - 2 + 3 + 4 + 2 = + 120

- 15 + 5 + 3

- 23 - 6 - 9 + 6

Page 6: Cramer 5x5 Parte 3 Final-Comprob

CF5= - 5481 + 1 + 10 + 5 - 4 + 5+ 3 + 4 + 2 - 1

- 15 + 5 + 3 + 6

+ 5 - 4 + 5+ 20 + 60 - 50 + 96 + 15 = - 1608 - 23 + 4 + 2 - 1 = + 60

+ 5 + 3 + 6

+ 10 - 4 + 5- 40 - 75 + 100 - 120 + 18 = - 270 + 6 + 3 + 2 - 1 = + 120

- 15 + 3 + 6

+ 10 + 5 + 5+ 50 - 125 + 200 + 150 + 30 = - 4041 - 9 + 3 + 4 - 1 = + 240

- 15 + 5 + 6

+ 10 + 5 - 4- 100 + 100 - 160 + 75 - 60 = + 438 - 6 + 3 + 4 + 2 = + 120

- 15 + 5 + 3

Page 7: Cramer 5x5 Parte 3 Final-Comprob

+ 4 + 6 + 6 + 8 + 1

- 8 - 23 - 9 + 6 + 2

- 381 + 6 + 10 - 4 + 5 + 3

- 5 + 3 + 2 - 1 + 4

- 10 - 15 + 3 + 6 + 3

- 23 - 9 + 6 + 2

CF1= - 11448 + 4 + 10 - 4 + 5 + 3

+ 3 + 2 - 1 + 4

- 15 + 3 + 6 + 3

- 4 + 5 + 3+ 60 + 36 + 9 - 30 + 96 = - 1098 - 23 + 2 - 1 + 4 = + 12 + 60 + 36

+ 3 + 6 + 3

+ 10 + 5 + 3

+ 100 + 72 + 15 - 60 - 120 = - 72 + 9 + 3 - 1 + 4 = - 30 - 300 + 54

- 15 + 6 + 3

+ 10 - 4 + 3

- 80 + 36 - 30 + 48 - 60 = - 336 + 6 + 3 + 2 + 4 = + 60 + 240 + 27

- 15 + 3 + 3

+ 10 - 4 + 5

+ 20 + 60 - 50 + 96 + 15 = - 402 - 2 + 3 + 2 - 1 = + 120 - 60 + 45- 15 + 3 + 6

- 8 - 9 + 6 + 2CF2= + 100548 - 6 + 6 - 4 + 5 + 3

- 5 + 2 - 1 + 4- 10 + 3 + 6 + 3

- 4 + 5 + 3+ 60 + 36 + 9 - 30 + 96 = - 4209 - 8 + 2 - 1 + 4 = + 12 + 60 + 36

+ 3 + 6 + 3

+ 6 + 5 + 3- 300 + 54 - 45 - 45 - 240 = - 5454 + 9 - 5 - 1 + 4 = - 18 - 200 - 90

- 10 + 6 + 3

+ 6 - 4 + 3+ 240 + 27 + 90 + 36 - 120 = + 1998 + 6 - 5 + 2 + 4 = + 36 + 160 - 45

- 10 + 3 + 3

Dx1 = Dx2 =

Page 8: Cramer 5x5 Parte 3 Final-Comprob

+ 6 - 4 + 5- 60 + 45 + 150 + 72 + 30 = - 714 - 2 - 5 + 2 - 1 = + 72 - 40 - 75

- 10 + 3 + 6

- 8 - 23 + 6 + 2CF3= - 35712 + 6 + 6 + 10 + 5 + 3

- 5 + 3 - 1 + 4- 10 - 15 + 6 + 3

+ 10 + 5 + 3+ 100 + 72 + 15 - 60 - 120 = + 184 - 8 + 3 - 1 + 4 = - 30 - 300 + 54

- 15 + 6 + 3

+ 6 + 5 + 3- 300 + 54 - 45 - 45 - 240 = - 3636 + 23 - 5 - 1 + 4 = - 18 - 200 - 90

- 10 + 6 + 3

+ 6 + 10 + 3- 300 + 45 + 180 - 45 - 200 = - 1200 + 6 - 5 + 3 + 4 = + 54 - 400 + 225

- 10 - 15 + 3

+ 6 + 10 + 5+ 75 + 75 + 300 - 90 + 50 = - 1300 - 2 - 5 + 3 - 1 = + 108 + 100 + 375

- 10 - 15 + 6

- 8 - 23 - 9 + 2CF4= - 48288 - 8 + 6 + 10 - 4 + 3

- 5 + 3 + 2 + 4- 10 - 15 + 3 + 3

+ 10 - 4 + 3- 80 + 36 - 30 + 48 - 60 = + 1288 - 8 + 3 + 2 + 4 = + 60 + 240 + 27

- 15 + 3 + 3

+ 6 - 4 + 3+ 240 + 27 + 90 + 36 - 120 = + 1998 + 23 - 5 + 2 + 4 = + 36 + 160 - 45

- 10 + 3 + 3

+ 6 + 10 + 3- 300 + 45 + 180 - 45 - 200 = + 1800 - 9 - 5 + 3 + 4 = + 54 - 400 + 225

- 10 - 15 + 3

+ 6 + 10 - 4- 150 - 60 - 240 - 45 - 100 = + 950 - 2 - 5 + 3 + 2 = + 54 - 200 - 300

- 10 - 15 + 3

- 8 - 23 - 9 + 6

Page 9: Cramer 5x5 Parte 3 Final-Comprob

CF5= - 5481 + 1 + 6 + 10 - 4 + 5- 5 + 3 + 2 - 1

- 10 - 15 + 3 + 6

+ 10 - 4 + 5+ 20 + 60 - 50 + 96 + 15 = - 4623 - 8 + 3 + 2 - 1 = + 120 - 60 + 45

- 15 + 3 + 6

+ 6 - 4 + 5- 60 + 45 + 150 + 72 + 30 = + 2142 + 23 - 5 + 2 - 1 = + 72 - 40 - 75

- 10 + 3 + 6

+ 6 + 10 + 5+ 75 + 75 + 300 - 90 + 50 = - 5850 - 9 - 5 + 3 - 1 = + 108 + 100 + 375

- 10 - 15 + 6

+ 6 + 10 - 4- 150 - 60 - 240 - 45 - 100 = + 2850 - 6 - 5 + 3 + 2 = + 54 - 200 - 300

- 10 - 15 + 3

Page 10: Cramer 5x5 Parte 3 Final-Comprob

+ 4 + 12 + 6 + 8 + 1

- 8 - 6 - 23 + 6 + 2

- 762 + 6 + 5 + 10 + 5 + 3

- 5 + 4 + 3 - 1 + 4

- 10 + 5 - 15 + 6 + 3

- 6 - 23 + 6 + 2

CF1= - 33516 + 4 + 5 + 10 + 5 + 3

+ 4 + 3 - 1 + 4

+ 5 - 15 + 6 + 3

+ 10 + 5 + 3+ 9 - 30 + 96 = - 4209 - 6 + 3 - 1 + 4 = - 30 - 300 + 54 - 45

- 15 + 6 + 3

+ 5 + 5 + 3

- 45 - 45 - 240 = - 5454 + 23 + 4 - 1 + 4 = - 15 + 100 + 72 + 15

+ 5 + 6 + 3

+ 5 + 10 + 3

+ 90 + 36 - 120 = + 1998 + 6 + 4 + 3 + 4 = + 45 + 200 - 180 - 45

+ 5 - 15 + 3

+ 5 + 10 + 5

+ 150 + 72 + 30 = - 714 - 2 + 4 + 3 - 1 = + 90 - 50 - 300 - 75+ 5 - 15 + 6

- 8 - 23 + 6 + 2CF2= + 27378 - 12 + 6 + 10 + 5 + 3

- 5 + 3 - 1 + 4- 10 - 15 + 6 + 3

+ 10 + 5 + 3+ 9 - 30 + 96 = - 1464 - 8 + 3 - 1 + 4 = - 30 - 300 + 54 - 45

- 15 + 6 + 3

+ 6 + 5 + 3- 30 + 75 - 144 = - 3663 + 23 - 5 - 1 + 4 = - 18 - 200 - 90 - 30

- 10 + 6 + 3

+ 6 + 10 + 3+ 60 - 60 - 72 = + 474 + 6 - 5 + 3 + 4 = + 54 - 400 + 225 + 90

- 10 - 15 + 3

Dx2 = Dx3 =

Page 11: Cramer 5x5 Parte 3 Final-Comprob

+ 6 + 10 + 5+ 100 - 120 + 18 = + 90 - 2 - 5 + 3 - 1 = + 108 + 100 + 375 + 150

- 10 - 15 + 6

- 8 - 6 + 6 + 2CF3= - 21150 + 6 + 6 + 5 + 5 + 3

- 5 + 4 - 1 + 4- 10 + 5 + 6 + 3

+ 5 + 5 + 3- 45 - 45 - 240 = + 4848 - 8 + 4 - 1 + 4 = - 15 + 100 + 72 + 15

+ 5 + 6 + 3

+ 6 + 5 + 3- 30 + 75 - 144 = - 9361 + 6 - 5 - 1 + 4 = - 18 - 200 - 90 - 30

- 10 + 6 + 3

+ 6 + 5 + 3+ 90 + 150 + 360 = + 2874 + 6 - 5 + 4 + 4 = + 72 - 200 - 75 + 120

- 10 + 5 + 3

+ 6 + 5 + 5+ 150 + 300 - 90 = - 1886 - 2 - 5 + 4 - 1 = + 144 + 50 - 125 + 200

- 10 + 5 + 6

- 8 - 6 - 23 + 2CF4= + 37488 - 8 + 6 + 5 + 10 + 3

- 5 + 4 + 3 + 4- 10 + 5 - 15 + 3

+ 5 + 10 + 3+ 90 + 36 - 120 = - 2664 - 8 + 4 + 3 + 4 = + 45 + 200 - 180 - 45

+ 5 - 15 + 3

+ 6 + 10 + 3+ 60 - 60 - 72 = + 1817 + 6 - 5 + 3 + 4 = + 54 - 400 + 225 + 90

- 10 - 15 + 3

+ 6 + 5 + 3+ 90 + 150 + 360 = - 4311 - 23 - 5 + 4 + 4 = + 72 - 200 - 75 + 120

- 10 + 5 + 3

+ 6 + 5 + 10- 120 + 150 + 180 = + 472 - 2 - 5 + 4 + 3 = - 360 - 150 - 250 + 400

- 10 + 5 - 15

- 8 - 6 - 23 + 6

Page 12: Cramer 5x5 Parte 3 Final-Comprob

CF5= - 10962 + 1 + 6 + 5 + 10 + 5- 5 + 4 + 3 - 1

- 10 + 5 - 15 + 6

+ 5 + 10 + 5+ 150 + 72 + 30 = - 2856 - 8 + 4 + 3 - 1 = + 90 - 50 - 300 - 75

+ 5 - 15 + 6

+ 6 + 10 + 5+ 100 - 120 + 18 = - 1035 + 6 - 5 + 3 - 1 = + 108 + 100 + 375 + 150

- 10 - 15 + 6

+ 6 + 5 + 5+ 150 + 300 - 90 = - 8487 - 23 - 5 + 4 - 1 = + 144 + 50 - 125 + 200

- 10 + 5 + 6

+ 6 + 5 + 10- 120 + 150 + 180 = + 1416 - 6 - 5 + 4 + 3 = - 360 - 150 - 250 + 400

- 10 + 5 - 15

Page 13: Cramer 5x5 Parte 3 Final-Comprob

+ 4 + 12 + 6 + 6 + 1

- 8 - 6 - 9 - 23 + 2

+ 381 + 6 + 5 - 4 + 10 + 3

- 5 + 4 + 2 + 3 + 4

- 10 + 5 + 3 - 15 + 3

- 6 - 9 - 23 + 2

CF1= + 23808 + 4 + 5 - 4 + 10 + 3

+ 4 + 2 + 3 + 4

+ 5 + 3 - 15 + 3

- 4 + 10 + 3- 45 - 240 = + 3636 - 6 + 2 + 3 + 4 = - 36 + 120 - 90 - 27 - 60

+ 3 - 15 + 3

+ 5 + 10 + 3

- 60 - 120 = - 184 + 9 + 4 + 3 + 4 = + 45 + 200 - 180 - 45 - 120

+ 5 - 15 + 3

+ 5 - 4 + 3

- 120 + 300 = + 1200 - 23 + 4 + 2 + 4 = + 30 - 80 + 36 - 30 + 48

+ 5 + 3 + 3

+ 5 - 4 + 10

- 240 - 75 = + 1300 - 2 + 4 + 2 + 3 = - 150 - 60 + 120 - 100 - 240+ 5 + 3 - 15

- 8 - 9 - 23 + 2CF2= + 42300 - 12 + 6 - 4 + 10 + 3

- 5 + 2 + 3 + 4- 10 + 3 - 15 + 3

- 4 + 10 + 3- 45 - 240 = + 4848 - 8 + 2 + 3 + 4 = - 36 + 120 - 90 - 27 - 60

+ 3 - 15 + 3

+ 6 + 10 + 3+ 75 - 144 = - 9361 + 9 - 5 + 3 + 4 = + 54 - 400 + 225 + 90 + 150

- 10 - 15 + 3

+ 6 - 4 + 3+ 150 + 360 = + 2874 - 23 - 5 + 2 + 4 = + 36 + 160 - 45 + 60 - 60

- 10 + 3 + 3

Dx3 = Dx4 =

Page 14: Cramer 5x5 Parte 3 Final-Comprob

+ 6 - 4 + 10+ 300 - 90 = - 1886 - 2 - 5 + 2 + 3 = - 180 + 120 - 150 + 200 + 300

- 10 + 3 - 15

- 8 - 6 - 23 + 2CF3= - 24264 + 6 + 6 + 5 + 10 + 3

- 5 + 4 + 3 + 4- 10 + 5 - 15 + 3

+ 5 + 10 + 3- 60 - 120 = + 64 - 8 + 4 + 3 + 4 = + 45 + 200 - 180 - 45 - 120

+ 5 - 15 + 3

+ 6 + 10 + 3+ 75 - 144 = - 2442 + 6 - 5 + 3 + 4 = + 54 - 400 + 225 + 90 + 150

- 10 - 15 + 3

+ 6 + 5 + 3+ 75 - 120 = - 768 - 23 - 5 + 4 + 4 = + 72 - 200 - 75 + 120 + 75

- 10 + 5 + 3

+ 6 + 5 + 10+ 150 + 30 = - 898 - 2 - 5 + 4 + 3 = - 360 - 150 - 250 + 400 - 375

- 10 + 5 - 15

- 8 - 6 - 9 + 2CF4= - 46944 - 6 + 6 + 5 - 4 + 3

- 5 + 4 + 2 + 4- 10 + 5 + 3 + 3

+ 5 - 4 + 3- 120 + 300 = - 1600 - 8 + 4 + 2 + 4 = + 30 - 80 + 36 - 30 + 48

+ 5 + 3 + 3

+ 6 - 4 + 3+ 150 + 360 = + 2874 + 6 - 5 + 2 + 4 = + 36 + 160 - 45 + 60 - 60

- 10 + 3 + 3

+ 6 + 5 + 3+ 75 - 120 = + 2944 - 9 - 5 + 4 + 4 = + 72 - 200 - 75 + 120 + 75

- 10 + 5 + 3

+ 6 + 5 - 4- 375 - 90 = + 1650 - 2 - 5 + 4 + 2 = + 72 - 100 + 100 - 160 + 75

- 10 + 5 + 3

- 8 - 6 - 9 - 23

Page 15: Cramer 5x5 Parte 3 Final-Comprob

CF5= + 5481 + 1 + 6 + 5 - 4 + 10- 5 + 4 + 2 + 3

- 10 + 5 + 3 - 15

+ 5 - 4 + 10- 240 - 75 = + 5200 - 8 + 4 + 2 + 3 = - 150 - 60 + 120 - 100 - 240

+ 5 + 3 - 15

+ 6 - 4 + 10+ 300 - 90 = + 5658 + 6 - 5 + 2 + 3 = - 180 + 120 - 150 + 200 + 300

- 10 + 3 - 15

+ 6 + 5 + 10+ 150 + 30 = - 10327 - 9 - 5 + 4 + 3 = - 360 - 150 - 250 + 400 - 375

- 10 + 5 - 15

+ 6 + 5 - 4- 375 - 90 = + 4950 + 23 - 5 + 4 + 2 = + 72 - 100 + 100 - 160 + 75

- 10 + 5 + 3

Page 16: Cramer 5x5 Parte 3 Final-Comprob

+ 4 + 12 + 6 + 8 + 6

- 8 - 6 - 9 + 6 - 23

+ 762 + 6 + 5 - 4 + 5 + 10 0

- 5 + 4 + 2 - 1 + 3

- 10 + 5 + 3 + 6 - 15

- 6 - 9 + 6 - 23

CF1= + 24144 + 4 + 5 - 4 + 5 + 10 CF1=

+ 4 + 2 - 1 + 3

+ 5 + 3 + 6 - 15

- 4 + 5 + 10- 240 = + 1998 - 6 + 2 - 1 + 3 = - 60 + 45 + 120 + 30 + 150 + 72 =

+ 3 + 6 - 15

+ 5 + 5 + 10

+ 300 = + 1800 + 9 + 4 - 1 + 3 = + 75 + 75 + 240 + 50 + 300 - 90 =

+ 5 + 6 - 15

+ 5 - 4 + 10

- 60 = + 1288 + 6 + 4 + 2 + 3 = - 150 - 60 + 120 - 100 - 240 - 45 =

+ 5 + 3 - 15

+ 5 - 4 + 5

- 45 = + 950 + 23 + 4 + 2 - 1 = + 60 + 20 + 60 - 50 + 96 + 15 =+ 5 + 3 + 6

- 8 - 9 + 6 - 23CF2= - 56232 - 12 + 6 - 4 + 5 + 10 CF2=

- 5 + 2 - 1 + 3- 10 + 3 + 6 - 15

- 4 + 5 + 10- 240 = + 2664 - 8 + 2 - 1 + 3 = - 60 + 45 + 120 + 30 + 150 + 72 =

+ 3 + 6 - 15

+ 6 + 5 + 10+ 360 = + 4311 + 9 - 5 - 1 + 3 = + 90 - 150 - 300 - 100 - 375 - 108 =

- 10 + 6 - 15

+ 6 - 4 + 10- 72 = - 1817 + 6 - 5 + 2 + 3 = - 180 + 120 - 150 + 200 + 300 - 54 =

- 10 + 3 - 15

Dx4 = Dx5 = Dx5 =

Page 17: Cramer 5x5 Parte 3 Final-Comprob

+ 6 - 4 + 5- 54 = - 472 + 23 - 5 + 2 - 1 = + 72 - 40 - 75 + 100 - 120 + 18 =

- 10 + 3 + 6

- 8 - 6 + 6 - 23CF3= + 35208 + 6 + 6 + 5 + 5 + 10 CF3=

- 5 + 4 - 1 + 3- 10 + 5 + 6 - 15

+ 5 + 5 + 10+ 300 = - 1600 - 8 + 4 - 1 + 3 = + 75 + 75 + 240 + 50 + 300 - 90 =

+ 5 + 6 - 15

+ 6 + 5 + 10+ 360 = + 2874 + 6 - 5 - 1 + 3 = + 90 - 150 - 300 - 100 - 375 - 108 =

- 10 + 6 - 15

+ 6 + 5 + 10- 120 = + 2944 + 6 - 5 + 4 + 3 = - 360 - 150 - 250 + 400 - 375 - 90 =

- 10 + 5 - 15

+ 6 + 5 + 5- 90 = + 1650 + 23 - 5 + 4 - 1 = + 144 + 50 - 125 + 200 + 150 + 30 =

- 10 + 5 + 6

- 8 - 6 - 9 - 23CF4= - 13320 - 8 + 6 + 5 - 4 + 10 CF4=

- 5 + 4 + 2 + 3- 10 + 5 + 3 - 15

+ 5 - 4 + 10- 60 = + 448 - 8 + 4 + 2 + 3 = - 150 - 60 + 120 - 100 - 240 - 45 =

+ 5 + 3 - 15

+ 6 - 4 + 10- 72 = + 474 + 6 - 5 + 2 + 3 = - 180 + 120 - 150 + 200 + 300 - 54 =

- 10 + 3 - 15

+ 6 + 5 + 10- 120 = + 1152 - 9 - 5 + 4 + 3 = - 360 - 150 - 250 + 400 - 375 - 90 =

- 10 + 5 - 15

+ 6 + 5 - 4- 60 = + 146 + 23 - 5 + 4 + 2 = + 72 - 100 + 100 - 160 + 75 - 60 =

- 10 + 5 + 3

- 8 - 6 - 9 + 6

Page 18: Cramer 5x5 Parte 3 Final-Comprob

CF5= + 10962 + 6 + 6 + 5 - 4 + 5 CF5=- 5 + 4 + 2 - 1

- 10 + 5 + 3 + 6

+ 5 - 4 + 5- 45 = + 3800 - 8 + 4 + 2 - 1 = + 60 + 20 + 60 - 50 + 96 + 15 =

+ 5 + 3 + 6

+ 6 - 4 + 5- 54 = + 1416 + 6 - 5 + 2 - 1 = + 72 - 40 - 75 + 100 - 120 + 18 =

- 10 + 3 + 6

+ 6 + 5 + 5- 90 = + 7425 - 9 - 5 + 4 - 1 = + 144 + 50 - 125 + 200 + 150 + 30 =

- 10 + 5 + 6

+ 6 + 5 - 4- 60 = - 1679 - 6 - 5 + 4 + 2 = + 72 - 100 + 100 - 160 + 75 - 60 =

- 10 + 5 + 3

Page 19: Cramer 5x5 Parte 3 Final-Comprob

0

+ 21924

- 2142

+ 5850

- 2850

+ 4623

+ 131544

- 2856

- 8487

+ 1416

Page 20: Cramer 5x5 Parte 3 Final-Comprob

- 1035

- 32886

- 5200

- 5658

- 4950

+ 10327

- 87696

+ 3800

+ 1416

+ 7425

- 1679

Page 21: Cramer 5x5 Parte 3 Final-Comprob

- 32886

- 1608

- 270

- 4041

+ 438