Ejercicio #3.6 GGR Corregido
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7/23/2019 Ejercicio #3.6 GGR Corregido
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Ejemplo 3.6
Resolver el sistema lineal por medio del mtodo de Jaco
6x -x -x +4x =17 6 -1
x -1x +!x -x =-17 1 -1
3x -!x +"x -x =1# 3 -!x +x +x -$x =-14 1 1
%nteraci&n '1 '! '3 '4 '1()+10 0 0 0 0 2.83333333
1 2.83333333 1.7 2.375 2.8 1.64583333
2 1.64583333 2.17833333 2.0875 4.18166667 0.75652778
3 0.75652778 1.86391667 2.82510417 3.98233333 0.95994792
4 0.95994792 1.94244028 3.05507292 3.88910972 1.073512385 1.07351238 2.0180984 2.98676832 3.99149222 1.00648297
6 1.00648297 2.00555568 2.97589398 4.01567582 0.98645773
7 0.98645773 1.99425951 3.00091728 3.99758653 1.00080511
8 1.00080511 1.99907058 3.00334155 3.99632691 1.00285075
9 1.00285075 2.00111613 2.99900659 4.00064345 0.99959149
10 0.99959149 2.00002205 2.99929043 4.00059469 0.99948895
11 0.99948895 1.99975777 3.00023304 3.99978079 1.00014461
12 1.00014461 2.00001742 3.00010368 3.99989595 1.00008955
13 1.00008955 2.0000456 2.99993712 4.00005314 0.99996169
14 0.99996169 1.99999107 2.99998446 4.00001446 0.9999862815 0.99998628 1.99999162 3.00001394 3.99998744 1.0000093
16 1.0000093 2.00000267 3.00000148 3.99999837 1.00000178
17 1.00000178 2.00000139 2.99999698 4.00000269 0.99999793
18 0.99999793 1.9999993 3.00000002 4.00000003 0.99999987
19 0.99999987 1.99999979 3.0000006 3.99999945 1.00000043
20 1.00000043 2.00000016 2.99999993 4.00000005 0.99999998
21 0.99999998 2.00000002 2.99999989 4.0000001 0.99999991
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7/23/2019 Ejercicio #3.6 GGR Corregido
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i.
-1 4 17
! -1 -17
" -1 1#1 -$ -14
'!()+! '3()+3 '4()+4 ep'1 ep'! ep'31.7 2.375 2.8 100 100 100
2.17833333 2.0875 4.18166667 72.151898734 21.958684 13.7724551
1.86391667 2.82510417 3.98233333 117.55094547 16.8686011 26.1089193
1.94244028 3.05507292 3.88910972 21.190747473 4.04252383 7.52743899
2.0180984 2.98676832 3.99149222 10.578775733 3.74898097 2.286906562.00555568 2.97589398 4.01567582 6.6597661862 0.62539891 0.36541394
1.99425951 3.00091728 3.99758653 2.0300151545 0.56643418 0.833855
1.99907058 3.00334155 3.99632691 1.4335842229 0.24066509 0.08071882
2.00111613 2.99900659 4.00064345 0.2039820823 0.10222061 0.14454638
2.00002205 2.99929043 4.00059469 0.3260593908 0.05470348 0.00946366
1.99975777 3.00023304 3.99978079 0.0102590058 0.01321572 0.03141785
2.00001742 3.00010368 3.99989595 0.0655559726 0.01298279 0.00431173
2.0000456 2.99993712 4.00005314 0.0055049976 0.00140889 0.00555216
1.99999107 2.99998446 4.00001446 0.0127862841 0.00272686 0.00157798
1.99999162 3.00001394 3.99998744 0.002459241 2.7539E-005 0.00098255
2.00000267 3.00000148 3.99999837 0.0023011773 0.00055278 0.00041536
2.00000139 2.99999698 4.00000269 0.0007516758 6.4167E-005 0.00015
1.9999993 3.00000002 4.00000003 0.0003844833 0.00010419 0.00010127
1.99999979 3.0000006 3.99999945 0.000193241 2.4457E-005 1.9612E-005
2.00000016 2.99999993 4.00000005 5.64986E-005 1.8436E-005 2.2488E-005
2.00000002 2.99999989 4.0000001 4.52305E-005 6.9313E-006 1.4814E-006
1.99999996 3.00000003 3.99999998 6.50549E-006 2.9650E-006 4.7145E-006
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7/23/2019 Ejercicio #3.6 GGR Corregido
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ep'4100
33.0410522
5.0054407
2.39704245
2.565018150.60222985
0.45250537
0.03151949
0.1078962
0.00121865
0.02034862
0.00287902
0.00392973
0.00096719
0.00067528
0.0002731
0.00010803
6.6501E-005
1.4453E-005
1.5050E-005
1.2954E-006
3.1769E-006