Matriz Kramer
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- Words: 792
- Pages: 7
coeficientesoriginal 2 4 5 2 3 5
3 1 4
x= numerador 40 19 59
4 2 5
3 1 4
40 19 59 40 19
4 2 5 4 2
3 1 4 3 1
4 2 5
3 1 4
4 2 5 4 2
3 1 4 3 1
x= denominador 2 5 3 2 5 3 2 5 x=
40 19 59
320 285 236 841
354 200 304 858 -17 DETERMINANTE
16 75 12 103
18 10 80 108 -5 DETERMINANTE 3.4
y= numerador 2 5 3
40 19 59
3 1 4
2 5 3 2 5
40 19 59 40 19
3 1 4 3 1
4 2 5
3 1 4
2 5 3 2 5
4 2 5 4 2
3 1 4 3 1
Z= numerador 2 5 3
4 2 5
40 19 59
2 5 3 2 5
4 2 5 4 2
40 19 59 40 19
4 2 5
3 1 4
4 2 5 4 2
3 1 4 3 1
y= denominador 2 5 3
152 885 120 1157
171 118 800 1089 68 DETERMINANTE
16 75 12 103
18 10 80 108 -5 DETERMINANTE -13.6
236 1000 228 1464
240 190 1180 1610 -146 DETERMINANTE
16 75 12 103
18 10 80 108 -5 DETERMINANTE 29.2
y=
Z= denominador 2 5 3 2 5 3 2 5
Z= comprobacion
matriz inicial 2 5 3 x
4 2 5 y 3.4
1ra 2da 3ra
3 1 4
40 19 59 z
-13.6 40 19 59
29.2
2x+y-3z=12 5x-4y+7z=27 10x+3y-z=40 coeficientesoriginal 3 4 5 35 2 5 3 27 2 1 1 13 x= numerador 35 4 5 27 5 3 13 1 1 35 27 13 35 27
4 5 1 4 5
5 3 1 5 3
175 135 156 466
325 105 108 538 -72 DETERMINANTE
15 10 24 49
50 9 8 67 -18 DETERMINANTE 4
81 130 210 421
270 117 70 457 -36 DETERMINANTE
x= denominador 3 4 5 2 5 3 2 1 1 3 2 2 3 2
4 5 1 4 5
5 3 1 5 3
x= y= numerador 3 35 5 2 27 3 2 13 1 3 2 2 3 2
35 27 13 35 27
5 3 1 5 3
y= denominador 3 4 5
2 2
5 1
3 1
3 2 2 3 2
4 5 1 4 5
5 3 1 5 3
15 10 24 49
50 9 8 67 -18 DETERMINANTE 2
195 70 216 481
350 81 104 535 -54 DETERMINANTE
15 10 24 49
50 9 8 67 -18 DETERMINANTE 3
y= Z= numerador 3 4 35 2 5 27 2 1 13 3 2 2 3 2
4 5 1 4 5
35 27 13 35 27
Z= denominador 3 4 5 2 5 3 2 1 1 3 2 2 3 2
4 5 1 4 5
5 3 1 5 3
Z= comprobacion matriz inicial 3 4 5 35 2 5 3 27 2 1 1 13 x y z 4 2 3 1ra 35 2da 27 3ra 13
2x+y-3z=12 5x-4y+7z=27 10x+3y-z=40 coeficientesoriginal 4 3 5 42 3 4 3 33 2 5 2 29 x= numerador 42 3 5 33 4 3 29 5 2 42 33 29 42 33
3 4 5 3 4
5 3 2 336 580 5 825 630 3 261 198 1422 1408 14 DETERMINANTE
x= denominador 4 3 5 3 4 3 2 5 2 4 3 2 4 3
3 4 5 3 4
5 3 2 5 3
x=
32 40 75 60 18 18 125 118 7 DETERMINANTE 2
y= numerador 4 42 5 3 33 3 2 29 2 4 3 2 4 3
42 33 29 42 33
5 3 2 264 330 5 435 348 3 252 252 951 930 21 DETERMINANTE
y= denominador 4 3 5
3 2
4 5
3 2
4 3 2 4 3
3 4 5 3 4
5 3 2 5 3
y=
32 40 75 60 18 18 125 118 7 DETERMINANTE 3
Z= numerador 4 3 42 3 4 33 2 5 29 4 3 2 4 3
3 4 5 3 4
42 33 29 464 336 42 630 660 33 198 261 1292 1257 35 DETERMINANTE
Z= denominador 4 3 5 3 4 3 2 5 2 4 3 2 4 3 Z=
3 4 5 3 4
5 3 2 5 3
32 40 75 60 18 18 125 118 7 DETERMINANTE 5
comprobacion matriz inicial 4 3 5 42 3 4 3 33 2 5 2 29 x y z 2 3 5 1ra 42 2da 33 3ra 29
3 1 4
x= numerador 40 19 59
4 2 5
3 1 4
40 19 59 40 19
4 2 5 4 2
3 1 4 3 1
4 2 5
3 1 4
4 2 5 4 2
3 1 4 3 1
x= denominador 2 5 3 2 5 3 2 5 x=
40 19 59
320 285 236 841
354 200 304 858 -17 DETERMINANTE
16 75 12 103
18 10 80 108 -5 DETERMINANTE 3.4
y= numerador 2 5 3
40 19 59
3 1 4
2 5 3 2 5
40 19 59 40 19
3 1 4 3 1
4 2 5
3 1 4
2 5 3 2 5
4 2 5 4 2
3 1 4 3 1
Z= numerador 2 5 3
4 2 5
40 19 59
2 5 3 2 5
4 2 5 4 2
40 19 59 40 19
4 2 5
3 1 4
4 2 5 4 2
3 1 4 3 1
y= denominador 2 5 3
152 885 120 1157
171 118 800 1089 68 DETERMINANTE
16 75 12 103
18 10 80 108 -5 DETERMINANTE -13.6
236 1000 228 1464
240 190 1180 1610 -146 DETERMINANTE
16 75 12 103
18 10 80 108 -5 DETERMINANTE 29.2
y=
Z= denominador 2 5 3 2 5 3 2 5
Z= comprobacion
matriz inicial 2 5 3 x
4 2 5 y 3.4
1ra 2da 3ra
3 1 4
40 19 59 z
-13.6 40 19 59
29.2
2x+y-3z=12 5x-4y+7z=27 10x+3y-z=40 coeficientesoriginal 3 4 5 35 2 5 3 27 2 1 1 13 x= numerador 35 4 5 27 5 3 13 1 1 35 27 13 35 27
4 5 1 4 5
5 3 1 5 3
175 135 156 466
325 105 108 538 -72 DETERMINANTE
15 10 24 49
50 9 8 67 -18 DETERMINANTE 4
81 130 210 421
270 117 70 457 -36 DETERMINANTE
x= denominador 3 4 5 2 5 3 2 1 1 3 2 2 3 2
4 5 1 4 5
5 3 1 5 3
x= y= numerador 3 35 5 2 27 3 2 13 1 3 2 2 3 2
35 27 13 35 27
5 3 1 5 3
y= denominador 3 4 5
2 2
5 1
3 1
3 2 2 3 2
4 5 1 4 5
5 3 1 5 3
15 10 24 49
50 9 8 67 -18 DETERMINANTE 2
195 70 216 481
350 81 104 535 -54 DETERMINANTE
15 10 24 49
50 9 8 67 -18 DETERMINANTE 3
y= Z= numerador 3 4 35 2 5 27 2 1 13 3 2 2 3 2
4 5 1 4 5
35 27 13 35 27
Z= denominador 3 4 5 2 5 3 2 1 1 3 2 2 3 2
4 5 1 4 5
5 3 1 5 3
Z= comprobacion matriz inicial 3 4 5 35 2 5 3 27 2 1 1 13 x y z 4 2 3 1ra 35 2da 27 3ra 13
2x+y-3z=12 5x-4y+7z=27 10x+3y-z=40 coeficientesoriginal 4 3 5 42 3 4 3 33 2 5 2 29 x= numerador 42 3 5 33 4 3 29 5 2 42 33 29 42 33
3 4 5 3 4
5 3 2 336 580 5 825 630 3 261 198 1422 1408 14 DETERMINANTE
x= denominador 4 3 5 3 4 3 2 5 2 4 3 2 4 3
3 4 5 3 4
5 3 2 5 3
x=
32 40 75 60 18 18 125 118 7 DETERMINANTE 2
y= numerador 4 42 5 3 33 3 2 29 2 4 3 2 4 3
42 33 29 42 33
5 3 2 264 330 5 435 348 3 252 252 951 930 21 DETERMINANTE
y= denominador 4 3 5
3 2
4 5
3 2
4 3 2 4 3
3 4 5 3 4
5 3 2 5 3
y=
32 40 75 60 18 18 125 118 7 DETERMINANTE 3
Z= numerador 4 3 42 3 4 33 2 5 29 4 3 2 4 3
3 4 5 3 4
42 33 29 464 336 42 630 660 33 198 261 1292 1257 35 DETERMINANTE
Z= denominador 4 3 5 3 4 3 2 5 2 4 3 2 4 3 Z=
3 4 5 3 4
5 3 2 5 3
32 40 75 60 18 18 125 118 7 DETERMINANTE 5
comprobacion matriz inicial 4 3 5 42 3 4 3 33 2 5 2 29 x y z 2 3 5 1ra 42 2da 33 3ra 29
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