Gauss Jordan (Excel)

Seleccione tamaño de la matriz 2x23x34x45x56x67x7

Datos de entradap= 6 comprobación

x0 x1 = x0Resultado 13 40 20 52.000039

x0= 4.000003 8 30 8 32.000024x1= -0.800001

13 40 208 30 8

1 3.076923 1.5384620 5.384616 -4.307696

1 0 4.0000030 1 -0.800001

Portada

comprobación x1 =

-32.00004 19.999999-24.00003 7.999994

Datos de entradap= 6

x0 x1 x2 =Resultado 10 4 3 10

x0= 1.176596 2 -10 7 13x1= -0.76383 5 -5 10 14x2= 0.429787

10 4 3 10 12 -10 7 13 05 -5 10 14 0

1 0.4 0.3 1 0.10 -10.8 6.4 11 -0.20 -7 8.5 9 -0.5

1 0 0.537037 1.407408 0.0925920 1 -0.592593 -1.018519 0.0185190 0 4.351849 1.870367 -0.370367

1 0 0 1.176596 0.1382970 1 0 -0.76383 -0.0319140 0 1 0.429787 -0.085106

Portada

comprobación Matriz Inversax0 x1 x2 = x0 x1 x2

11.76596 -3.05532 1.289361 10.000001 0.138297 0.117022 -0.1234042.353192 7.6383 3.008509 13.000001 -0.031914 -0.180852 0.136175.88298 3.81915 4.29787 14 -0.085106 -0.148937 0.229787

0 01 00 1

0 01 00 1

0.037037 0-0.092593 0-0.648151 1

0.117022 -0.123404-0.180852 0.13617-0.148937 0.229787


x0 x1 x2 x3 =Resultado 6 2 6 2 5

x0= -3.218753 0 7 3 3 21x1= 13.101472 13 1 31 9 8x2= 11.312445 1 15 6 7 17x3= -34.882582

6 2 6 2 50 7 3 3 21

13 1 31 9 81 15 6 7 17

1 0.333333 1 0.333333 0.8333330 7 3 3 210 -3.333329 18 4.666671 -2.8333290 14.666667 5 6.666667 16.166667

1 0 0.857143 0.190476 -0.1666660 1 0.428571 0.428571 30 0 19.428568 6.095239 7.1666580 0 -1.285708 0.380959 -27.833334

1 0 0 -0.078432 -0.4828420 1 0 0.294117 2.8419120 0 1 0.313726 0.3688720 0 0 0.784319 -27.359072

1 0 0 0 -3.2187530 1 0 0 13.1014720 0 1 0 11.3124450 0 0 1 -34.882582

Portada

comprobaciónx0 x1 x2 x3 =

-19.312518 26.202944 67.87467 -69.765164 4.9999320 91.710304 33.937335 -104.647746 20.999893

-41.843789 13.101472 350.685795 -313.943238 8.00024-3.218753 196.52208 67.87467 -244.178074 16.999923


x0 x1 x2 x3 x4Resultado 1 3 3 4 5

x0= 1.461465 2 5 6 3 6x1= 0.250631 6 1 67 3 7x2= -0.381133 8 35 6 7 8x3= -7.774817 6 3 4 6 9x4= 7.405863

1 3 3 4 52 5 6 3 66 1 67 3 78 35 6 7 86 3 4 6 9

1 3 3 4 50 -1 0 -5 -40 -17 49 -21 -230 11 -18 -25 -320 -15 -14 -18 -21

1 0 3 -11 -70 1 0 5 40 0 49 64 450 0 -18 -80 -760 0 -14 57 39

1 0 0 -14.918366 -9.7551010 1 0 5 40 0 1 1.306122 0.9183670 0 0 -56.489804 -59.4693940 0 0 75.285708 51.857138

1 0 0 0 5.9501490 1 0 0 -1.263730 0 1 0 -0.4566480 0 0 1 1.0527460 0 0 0 -27.39959

1 0 0 0 00 1 0 0 00 0 1 0 00 0 0 1 00 0 0 0 1

Portada

comprobación= x0 x1 x2 x3 x4 =

7 1.461465 0.751893 -1.143399 -31.099268 37.029315 7.00000623 2.92293 1.253155 -2.286798 -23.324451 44.435178 23.00001412 8.76879 0.250631 -25.535911 -23.324451 51.841041 12.000123 11.69172 8.772085 -2.286798 -54.423719 59.246904 23.00019228 8.76879 0.751893 -1.524532 -46.648902 66.652767 28.000016

723122328

79

-30-33-14

34-9

-18366

-149

45.204082-9

-3.734694-1.224492

-201.285716

45.527453-9.10838

-3.7630060.021676

-202.917609

1.4614650.250631-0.381133-7.7748177.405863


x0 x1 x2 x3 x4Resultado 2 4 6 8 10

x0= 4 0 5 6 3 6x1= 0.641688 2 4 5 6 7x2= 10.028779 0 35 6 7 8x3= -0.704545 3 4 5 6 7x4= -19.243913 10 8 6 5 8x5= 11.028012

2 4 6 8 100 5 6 3 62 4 5 6 70 35 6 7 83 4 5 6 7

10 8 6 5 8

1 2 3 4 50 5 6 3 60 0 -1 -2 -30 35 6 7 80 -2 -4 -6 -80 -12 -24 -35 -42

1 0 0.6 2.8 2.60 1 1.2 0.6 1.20 0 -1 -2 -30 0 -36 -14 -340 0 -1.6 -4.8 -5.60 0 -9.6 -27.8 -27.6

1 0 0 1.6 0.80 1 0 -1.8 -2.40 0 1 2 30 0 0 58 740 0 0 -1.6 -0.80 0 0 -8.6 1.2

1 0 0 0 -1.2413790 1 0 0 -0.1034480 0 1 0 0.4482760 0 0 1 1.2758620 0 0 0 1.2413790 0 0 0 12.172413

1 0 0 0 00 1 0 0 00 0 1 0 0

Portada

0 0 0 1 00 0 0 0 10 0 0 0 0

1 0 0 0 00 1 0 0 00 0 1 0 00 0 0 1 00 0 0 0 10 0 0 0 0

comprobaciónx5 = x0 x1 x2 x3 x4

12 5 8 2.566752 60.172674 -5.63636 -192.439137 23 0 3.20844 60.172674 -2.113635 -115.4634788 10 8 2.566752 50.143895 -4.22727 -134.7073919 23 0 22.45908 60.172674 -4.931815 -153.9513048 14 12 2.566752 50.143895 -4.22727 -134.7073916 14 40 5.133504 60.172674 -3.522725 -153.951304

12 57 238 109 238 146 14

6 2.57 23-4 59 23

-10 6.5-54 -11

3.2 -6.71.4 4.6-4 5

-40 -138-7.2 15.7

-37.2 44.2

0.8 -3.7-3.4 10.6

4 -5104 -318-0.8 7.71.2 -3.8

-2.068965 5.072414-0.172415 0.7310340.413794 5.9655181.793103 -5.4827592.068965 -1.072414

16.620686 -50.951727

0 4-0.000002 0.641666-0.333333 6.352779

-0.333334 -4.3805561.666667 -0.863889-3.666673 -40.436113

0 40 0.6416880 10.0287790 -0.7045450 -19.2439131 11.028012

comprobaciónx5 =

132.336144 5.0000877.196084 23.00008588.224096 10.00008299.252108 23.00074388.224096 14.00008266.168072 14.000221


x0 x1 x2 x3 x4Resultado 10 11 12 13 14

x0= 0.576102 0 5 6 3 6x1= 0.729284 15 10 15 10 15x2= 0.753492 0 35 6 7 8x3= -9.178788 5 10 15 20 25x4= 9.073828 0 6 3 9 12x5= -1.817163 6 12 18 24 30x6= 0.107692

10 11 12 13 140 5 6 3 6

15 10 15 10 150 35 6 7 85 10 15 20 250 6 3 9 126 12 18 24 30

1 1.1 1.2 1.3 1.40 5 6 3 60 -6.5 -3 -9.5 -60 35 6 7 80 4.5 9 13.5 180 6 3 9 120 5.4 10.8 16.2 21.6

1 0 -0.12 0.64 0.080 1 1.2 0.6 1.20 0 4.8 -5.6 1.80 0 -36 -14 -340 0 3.6 10.8 12.60 0 -4.2 5.4 4.80 0 4.32 12.96 15.12

1 0 0 0.5 0.1250 1 0 2 0.750 0 1 -1.166667 0.3750 0 0 -56.000012 -20.50 0 0 15.000001 11.250 0 0 0.499999 6.3750 0 0 18.000001 13.5

1 0 0 0 -0.0580360 1 0 0 0.0178580 0 1 0 0.8020830 0 0 1 0.3660710 0 0 0 5.758935

Portada

0 0 0 0 6.1919650 0 0 0 6.910722

1 0 0 0 00 1 0 0 00 0 1 0 00 0 0 1 00 0 0 0 10 0 0 0 00 0 0 0 0

1 0 0 0 00 1 0 0 00 0 1 0 00 0 0 1 00 0 0 0 10 0 0 0 00 0 0 0 0

1 0 0 0 00 1 0 0 00 0 1 0 00 0 0 1 00 0 0 0 10 0 0 0 00 0 0 0 0

Comprobaciónx5 x6 = x0 x1 x2 x3

15 16 5 5.76102 8.022124 9.041904 -119.3242447 6 23 0 3.64642 4.520952 -27.536364

10 15 55 8.64153 7.29284 11.30238 -91.787889 9 23 0 25.52494 4.520952 -64.251516

30 35 14 2.88051 7.29284 11.30238 -183.575763 5 28 0 4.375704 2.260476 -82.609092

36 16 14 3.456612 8.751408 13.562856 -220.290912

15 16 57 6 23

10 15 559 9 23

30 35 143 5 28

36 16 14

1.5 1.6 0.57 6 23

-12.5 -9 47.59 9 23

22.5 27 11.53 5 28

27 6.4 11

-0.04 0.28 -4.561.4 1.2 4.6-3.4 -1.2 77.4-40 -33 -13816.2 21.6 -9.2-5.4 -2.2 0.4

19.44 -0.08 -13.84

-0.125 0.25 -2.6252.25 1.5 -14.75

-0.708333 -0.25 16.125-65.499988 -42 442.518.749999 22.5 -67.25-8.374999 -3.25 68.12522.499999 1 -83.5

-0.709821 -0.125 1.325892-0.089284 0 1.0535680.65625 0.625 6.906249

1.169642 0.75 -7.9017841.205368 11.249999 51.276768

-8.959819 -3.624999 72.0758841.446442 -12.500001 58.73212

-0.697674 -0.011627 1.842637-0.093022 -0.034885 0.8945630.488371 -0.941858 -0.2353881.093022 0.034885 -11.161230.209304 1.953486 8.903863

-10.255822 -15.720916 16.9434760 -26 -2.800002

0 1.057821 0.6900210 0.107706 0.7408830 -1.690471 0.5714420 -1.640583 -9.3554660 1.632649 9.2496511 1.532877 -1.6520840 -26 -2.800002

0 0 0.5761020 0 0.7292840 0 0.7534920 0 -9.1787880 0 9.0738281 0 -1.8171630 1 0.107692

Comprobaciónx4 x5 x6 =

127.033592 -27.257445 1.723072 5.00002354.442968 -12.720141 0.646152 22.999987136.10742 -18.17163 1.61538 55.0000472.590624 -16.354467 0.969228 22.999761226.8457 -54.51489 3.76922 14

108.885936 -5.451489 0.53846 27.999995272.21484 -65.417868 1.723072 14.000008

Gauss Jordan (Excel)

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