Ejemplo Exam 2

8/19/2019 Ejemplo Exam 2

1/12

Resolver el sistema

-9 X1 459.112945 X2 -4.724914 X3

-981 X1 4.224578 X2 8 X3

-990 X1 463.337523 X2 3.275255 X3

Método de Montante

Matriz aumentada ivote!nterior1 Matriz aume

1

-9 459.112945 -4.724914 -2798.32819

-981 4.224578 8 -7921.34747

-990 463.337523 3.275255 -10719.6765

Modi"#ando Modi"#ando

-9 459.112945 -4.724914 -2798.32819

-981 4.224578 8 -7921.34747

-990 463.337523 3.275255 -10719.6765

$a#er %&R' arri(a ) de(a*o del +ivote $a#er %&R'


2/12

, -2798.32819

, -7921.34747

, -10719.6765

tada ivote!nterior2 Matriz aumentada

Modi"#ando

rri(a ) de(a*o del +ivote $a#er %&R' arri(a ) de(a*


3/12

ivote!nterior3 Matriz aumentada

Modi"#ando

o del +ivote


4/12

eternimante

0


5/12

a dos e#ua#i/nes son #ir#uneren#ias.

Radio1 1 1 Radio2 2

86 -1 3 53.2289022 24.8556985

ara ra"#ar el +rimer #ir#ulo la varia desde la a(s#isa del #entro menos el ra

-87 52.2289022

-28.3732037 78.0846007

es+e*ando ) de am(os #ir#ulos se tiene

%ir#ulo 1 %ir#ulo 2

), 1R!:Radio1;2--1;2 ), 2R!:Rad

), 1-R!:Radio1;2--1;2 ), 2-R!:Radi


6/12

12 -66.36 58.8933842 -52.8933842 -15.5982671 76.7785799

13 -64.64 60.8441907 -54.8441907 -14.5336891 77.9860135

14 -62.92 62.6817694 -56.6817694 -13.4691111 79.1233658

15 -61.2 64.4162845 -58.4162845 -12.404533 80.1969278

16 -59.48 66.0562416 -60.0562416 -11.339955 81.211964

17 -57.76 67.6088415 -61.6088415 -10.2753769 82.1729313

18 -56.04 69.0802421 -63.0802421 -9.21079888 83.083641119 -54.32 70.4757556 -64.4757556 -8.14622083 83.9473813

20 -52.6 71.8 -65.8 -7.08164279 84.76701

21 -50.88 73.0570168 -67.0570168 -6.01706474 85.5450289

22 -49.16 74.2503642 -68.2503642 -4.9524867 86.2836402

23 -47.44 75.3831914 -69.3831914 -3.88790866 86.9847931

24 -45.72 76.4582984 -70.4582984 -2.82333061 87.6502206

25 -44 77.4781847 -71.4781847 -1.75875257 88.2814698

26 -42.28 78.44509 -72.44509 -0.69417452 88.8799268

27 -40.56 79.3610267 -73.3610267 0.37040352 89.4468374

28 -38.84 80.2278085 -74.2278085 1.43498156 89.983323929 -37.12 81.047073 -75.047073 2.49955961 90.4904001

30 -35.4 81.820302 -75.820302 3.56413765 90.968983

31 -33.68 82.5488378 -76.5488378 4.6287157 91.4199035

32 -31.96 83.2338981 -77.2338981 5.69329374 91.8439152

33 -30.24 83.8765875 -77.8765875 6.75787179 92.2417018

34 -28.52 84.4779087 -78.4779087 7.82244983 92.613884

35 -26.8 85.0387713 -79.0387713 8.88702787 92.9610247

36 -25.08 85.56 -79.56 9.95160592 93.2836344

37 -23.36 86.042341 -80.042341 11.016184 93.5821749

38 -21.64 86.4864684 -80.4864684 12.080762 93.8570634

39 -19.92 86.892989 -80.892989 13.1453401 94.1086755

40 -18.2 87.2624472 -81.2624472 14.2099181 94.3373482

41 -16.48 87.5953285 -81.5953285 15.2744961 94.5433821

42 -14.76 87.8920632 -81.8920632 16.3390742 94.7270433

43 -13.04 88.1530293 -82.1530293 17.4036522 94.8885658

44 -11.32 88.3785547 -82.3785547 18.4682303 95.0281526

45 -9.6 88.5689196 -82.5689196 19.5328083 95.1459772

46 -7.88 88.7243583 -82.7243583 20.5973864 95.2421846

47 -6.16 88.8450604 -82.8450604 21.6619644 95.316892

48 -4.44 88.9311725 -82.9311725 22.7265424 95.3701903

49 -2.72 88.9827983 -82.9827983 23.7911205 95.4021436

50 -1 89 -83 24.8556985 95.4127905

51 0.72 88.9827983 -82.9827983 25.9202766 95.4021436

52 2.44 88.9311725 -82.9311725 26.9848546 95.3701903

53 4.16 88.8450604 -82.8450604 28.0494327 95.316892

54 5.88 88.7243583 -82.7243583 29.1140107 95.2421846

55 7.6 88.5689196 -82.5689196 30.1785888 95.1459772

56 9.32 88.3785547 -82.3785547 31.2431668 95.0281526


7/12

57 11.04 88.1530293 -82.1530293 32.3077448 94.8885658

58 12.76 87.8920632 -81.8920632 33.3723229 94.7270433

59 14.48 87.5953285 -81.5953285 34.4369009 94.5433821

60 16.2 87.2624472 -81.2624472 35.501479 94.3373482

61 17.92 86.892989 -80.892989 36.566057 94.1086755

62 19.64 86.4864684 -80.4864684 37.6306351 93.8570634

63 21.36 86.042341 -80.042341 38.6952131 93.582174964 23.08 85.56 -79.56 39.7597912 93.2836344

65 24.8 85.0387713 -79.0387713 40.8243692 92.9610247

66 26.52 84.4779087 -78.4779087 41.8889472 92.613884

67 28.24 83.8765875 -77.8765875 42.9535253 92.2417018

68 29.96 83.2338981 -77.2338981 44.0181033 91.8439152

69 31.68 82.5488378 -76.5488378 45.0826814 91.4199035

70 33.4 81.820302 -75.820302 46.1472594 90.968983

71 35.12 81.047073 -75.047073 47.2118375 90.4904001

72 36.84 80.2278085 -74.2278085 48.2764155 89.9833239

73 38.56 79.3610267 -73.3610267 49.3409936 89.446837474 40.28 78.44509 -72.44509 50.4055716 88.8799268

75 42 77.4781847 -71.4781847 51.4701496 88.2814698

76 43.72 76.4582984 -70.4582984 52.5347277 87.6502206

77 45.44 75.3831914 -69.3831914 53.5993057 86.9847931

78 47.16 74.2503642 -68.2503642 54.6638838 86.2836402

79 48.88 73.0570168 -67.0570168 55.7284618 85.5450289

80 50.6 71.8 -65.8 56.7930399 84.76701

81 52.32 70.4757556 -64.4757556 57.8576179 83.9473813

82 54.04 69.0802421 -63.0802421 58.9221959 83.0836411

83 55.76 67.6088415 -61.6088415 59.986774 82.1729313

84 57.48 66.0562416 -60.0562416 61.051352 81.211964

85 59.2 64.4162845 -58.4162845 62.1159301 80.1969278

86 60.92 62.6817694 -56.6817694 63.1805081 79.1233658

87 62.64 60.8441907 -54.8441907 64.2450862 77.9860135

88 64.36 58.8933842 -52.8933842 65.3096642 76.7785799

89 66.08 56.8170382 -50.8170382 66.3742423 75.4934448

90 67.8 54.6 -48.6 67.4388203 74.1212296

91 69.52 52.2232628 -46.2232628 68.5033983 72.6501701

92 71.24 49.6624303 -43.6624303 69.5679764 71.0651666

93 72.96 46.8852868 -40.8852868 70.6325544 69.3462794

94 74.68 43.8477368 -37.8477368 71.6971325 67.466216

95 76.4 40.4865309 -34.4865309 72.7617105 65.3858288

96 78.12 36.7049789 -30.7049789 73.8262886 63.0452722

97 79.84 32.341002 -26.341002 74.8908666 60.3442293

98 81.56 27.08 -21.08 75.9554447 57.0879809

99 83.28 20.1137839 -14.1137839 77.0200227 52.776306

100 85 3 3 78.0846007 42.1838904


8/12

e la ra"#a se tiene

Raiz Xo >o

-3.8879 76.9847

%riterio de %onveren#ia

=%? @ol Maiter

4 0.00005 50

Método de =eAton


9/12

2

42.1838883

io asta el #entro mas su radio

io2;2--2;2

2;2--2;2

%ir#2e(a*o

42.1838883

31.5914705

27.2797956

24.0235472

21.3225043

18.9819477

16.9015605

15.0214971

13.3026099

11.7176064

10.2465469

8.8743317


10/12

7.58919659

6.38176301

5.24441072

4.17084871

3.15581249

2.19484516

1.284135390.42039524

-0.39923352

-1.17725239

-1.91586371

-2.6170166

-3.28244408

-3.91369328

-4.51215031

-5.07906086

-5.61554738-6.12262355

-6.60120645

-7.05212698

-7.47613866

-7.8739253

-8.24610747

-8.59324821

-8.91585787

-9.21439836

-9.48928687

-9.74089903

-9.96957174

-10.1756055

-10.3592668

-10.5207893

-10.6603761

-10.7782007

-10.8744081

-10.9491155

-11.0024138

-11.0343671

-11.045014

-11.0343671

-11.0024138

-10.9491155

-10.8744081

-10.7782007

-10.6603761


11/12

-10.5207893

-10.3592668

-10.1756055

-9.96957174

-9.74089903

-9.48928687

-9.21439836-8.91585787

-8.59324821

-8.24610747

-7.8739253

-7.47613866

-7.05212698

-6.60120645

-6.12262355

-5.61554738

-5.07906086-4.51215031

-3.91369328

-3.28244408

-2.6170166

-1.91586371

-1.17725239

-0.39923352

0.42039524

1.28413539

2.19484516

3.15581249

4.17084871

5.24441072

6.38176301

7.58919659

8.8743317

10.2465469

11.7176064

13.3026099

15.0214971

16.9015605

18.9819477

21.3225043

24.0235472

27.2797956

31.5914705

42.1838861


12/12

1!rri(a

2e(a*o

2e(a*o

umn D

Documents

Ejemplo Exam 2