Algebra lineal
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Transcript of Algebra lineal
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INSTITUTO TECNOLOGICO DE
MERIDA
DEPARTAMENTO DE
SISTEMAS COMPUTACIONALES
MATERIA: Algebra Lineal
GRUPO: 2SA
UNIDAD: 3.- Sistemas de Ecuaciones
PORTAFOLIO DE EVIDENCIAS
Estrada Gonzlez Carlos Israel
FECHA:
08- MAYO- 2015
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TAREA #1
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GRAFICAS DE LAS FUNCIONES
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TAREA #2
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x y z
0 0 0
3 -1.2 0.30769231
4.78461538 0.24615385 -0.40769231
3.32307692 0.38769231 1.49289941
-0.76118343 1.3235503 1.36426036
-2.3756213 -0.41306509 1.58667274
0.65278471 -0.88091033 -0.59399727
5.9498152 -1.41408393 -0.51544484
6.85905754 0.76757021 -0.07097208
1.60680374 1.48684535 2.45335591
-4.88040252 1.40540622 2.2179111
-4.24663464 -1.37783213 0.88266775
3.99032875 -2.19251965 -1.99278742
11.3706141 -1.19809843 -1.28611179
7.96842044 2.31935622 1.20408902
-4.04689049 2.95063939 4.3378491
-11.576977 0.65152308 2.70705579
-3.71715775 -3.66514616 -1.21700918
TAREA # 3
*Nota las funciones correspondientes estn debajo de las
tablas
x y z
0 0 0
11 4 3.33333333
9 -36.6666667 -2.66666667
-54.3333333 -34.6666667 -14.8888889
-13.6666667 206.444444 28
339.888889 86.6666667 81.2592593
-59.4444444 -1274.2963 -194.37037
-1954.48148 47.4074074 -381.802469
1251.22222 7440.12346 1322.12346
10924.8765 -3678.76543 1649.22634
-12294.2099 -42046.2798 -8506.17284
-58563.0412 40674.6667 -5815.95336
98808.1934 228440.211 52603.583
299080.674 -342625.191 10277.9415
-716073.206 -1186040.75 -313592.179
-1431293.97 2550704.64 82038.553
4855304.63 5807218.42 1804434.19
6201145.27 -17616780.3 -1301126.94
x-2y+3z=11
4x+y-z=4
2xx-y`3z=10
3x+6y-6z=9
2x-5y+4z=6
5x+28y-26z=-8
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x y z
0 0 0
-9 -1.5 2
-3.75 22 7.625
24.875 42.25 4.34375
25.15625 -17.09375 -13.546875
-58.1875 -106.96875 -13.7226563
-103.652344 17.1679688 38.3671875
114.685547 345.814453 66.7827148
364.255371 160.385254 -69.6784668
-137.842773 -896.275391 -225.659607
-1134.11652 -923.033875 88.1517334
-206.061737 2140.43344 710.822823
3193.68519 3861.70672 130.788586
2314.21912 -4138.08485 -1994.05324
-8060.20216 -13443.0949 -1444.38695
-11063.7083 4866.86849 5039.62635
17543.3133 41792.1942 6916.81768
41637.5501 8267.61846 -10962.5708
-28762.9032 -117270.679 -26021.4688x y z
0 0 0
7 -4 6
17 54 -6.66666667
-53.6666667 30.6666667 -46
-69.6666667 -448.666667 103.111111
558.777778 232.888889 294.888889
69 3705.55556 -1189.18519
-4887.74074 -5673.92593 -1367.18519
4313.74074 -26390.8889 11672.7901
38070.679 75614.9136 175.481481
-75432.4321 153156.123 -101340.329
-254489.453 -808435.374 99818.823
908261.198 -518867.695 778463.364
1297338.06 7525357.61 -1643560.5
-9168911.1 -3028454.25 -5103122.65
-2x+y+6z=18
5x+8z=16
3x+2y-10z=-3
x+y-z=7
4x-y+5z=4
6x+y+3z=18
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x y z
3 3 3
-3 -9 -1
-15 11 -1
25 59 13.6666667
77 -86.3333333 3
-181.666667 -305 -80.1111111
-369.666667 646.555556 19.4444444
1234.77778 1498.11111 461.962963
1610.33333 -4477.14815 -323.814815
-7982.85185 -6765.14815 -2565.93827
-5832.48148 29365.4691 3066.85185
49530.3827 26396.7778 13676.8107
11763.1235 -184444.72 -24221.3292
-296225.453 -71273.823 -69323.6557
65423.321 1115578.16 173725.694
1709979.23 -87967.5898 328243.838
-1160666.69 -6511673.07 -1169308.68
-9515420.1 3473358.09 -1396779.9
11137055.9 36664900.5 7501399.43 x y z
0 0 0
4 -0.5 1.2
6.4 -2.5 1.4
6.8 -3.7 2.2
8.4 -3.9 2.68
9.36 -4.7 2.76
9.52 -5.18 3.08
10.16 -5.26 3.272
10.544 -5.58 3.304
10.608 -5.772 3.432
10.864 -5.804 3.5088
11.0176 -5.932 3.5216
11.0432 -6.0088 3.5728
11.1456 -6.0216 3.60352
11.20704 -6.0728 3.60864
11.21728 -6.10352 3.62912
11.25824 -6.10864 3.641408
11.282816 -6.12912 3.643456
11.286912 -6.141408 3.651648
11.303296 -6.143456 3.6565632
11.3131264 -6.151648 3.6573824
x-2y+3z=0
4x+y-z=0
2x-y+3z=0
2y+5z=6
x-2z=4
2x+4y=-2
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x y z
0 0 0
NO SE PUEDE YA QUE NO HAY EL MISMO
NUMERO DE ECUACIONES
x y z
0 0 0
NO SE PUEDE YA QUE NO HAY EL MISMO
NUMERO DE ECUACIONES
0 0 0 0
2 0.25 -3.5 4
2 -3.25 -3.75 3.5
-4.25 -3.03125 -14.25 3.25
6.9375 -11.328125 -10.46875 -16.625
6.4375 43.7607422 -40.953125 3.9375
126.537109 -40.0632324 124.563477 -27.296875
-175.393066 -849.798412 -186.958252 318.3691406
-1829.00771 -14880.1845 -2465.1987 -446.0478516
-26847.1224 274899.396 -43729.5496 -5204.710274
598735.053 56899909.3 838118.25 -83996.23332
113045699 -1.76E+10 170400357 1736224.829
-3.5372E+10 7.3963E+13 -5.2856E+10 339968908.9
1.4798E+14 -4.4923E+18 2.2191E+14 -1.05913E+11
-8.9849E+18 -5.8757E+24 -1.3477E+19 4.43876E+14
-1.1751E+25 -1.4955E+33 -1.7627E+25 -2.69543E+19
-2.9911E+33 1.1878E+44 -4.4866E+33 -3.52543E+25
2.3756E+44 3.9543E+58 3.5635E+44 -8.9732E+33
7.9086E+58 -7.9939E+77 1.1863E+59 7.12692E+44
-1.5988E+78 2.114E+103 -2.3982E+78 2.37258E+59
X+2x-4=4
-2x-4y+8z=-8
X+2y-4z=4
-2x-4y+8z=-8
x-2y+z+w=2
3x+2y-2w=-8
4x-z-w=1
-x+6y-2z=7
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x y z w
0 0 0 0
2 0.25 -4 0
6.5 -0.75 -7 -2
9.5 -2 -15.75 11.5
2.25 -0.8125 -6.75 0.25
6.875 -1.375 -7.125 -9
15.375 -3.78125 -23.3125 13
4.75 -2.328125 -14.0625 6.9375
4.46875 -1.53125 -4.1875 -18.4375
21.5625 -5.40625 -29.140625 9.78125
10.546875 -4.58984375 -26.5625 20.390625
-1.0078125 -1.29296875 0.5703125 -26.953125
25.796875 -6.34570313 -29.4414063 -3.328125
22.078125 -7.94238281 -46.0234375 40.6601563
-8.52148438 -1.09082031 3.54296875 -27.6796875
23.9550781 -5.78417969 -18.8974609 -31.9785156
41.3076172 -12.4689941 -71.9111328 63.0830078
x y z
0 0 0
8.5 -0.5 0
24.75 -3.75 -13
57.25 -10.25 -39
122.25 -23.25 -91
252.25 -49.25 -195
512.25 -101.25 -403
1032.25 -205.25 -819
2072.25 -413.25 -1651
4152.25 -829.25 -3315
8312.25 -1661.25 -6643
16632.25 -3325.25 -13299
x-2y+z+w=2
3x+2z-2w=-8
4y-z-w=1
5x+3z-w=0
X+y+z=8
4y-z=-2
3x-y+2z=0
-
x y z w
0 0 0 0
2 6 1 -5
-1.5 8 11 -7
-7.5 3.5 15 -3.5
-7.25 2 8 2.5
-3 2.75 -4 2.25
2.625 10.75 -3.5 -2
-1.625 8.875 5 -7.625
-4.9375 10.25 16.25 -3.375
-11.25 -1.9375 7.75 -0.0625
-0.90625 9.5625 1.125 6.25
-3.34375 -0.46875 -11.5 -4.09375
7.984375 24.9375 9.1875 -1.65625
-15.0625 -9.515625 4.3125 -12.984375
4.6015625 29.734375 26.96875 10.0625
-26.3515625 -35.6328125 -19.125 -9.6015625
-26.3515625 -35.6328125 -19.125 -9.6015625
-26.3515625 -35.6328125 -19.125 -9.6015625
x y z w
0 0 0 0
2 6 1 -5
-1.5 8 11 -7
-7.5 3.5 15 -3.5
-7.25 2 8 2.5
-3 2.75 -4 2.25
2.625 10.75 -3.5 -2
-1.625 8.875 5 -7.625
-4.9375 10.25 16.25 -3.375
-11.25 -1.9375 7.75 -0.0625
-0.90625 9.5625 1.125 6.25
-3.34375 -0.46875 -11.5 -4.09375
7.984375 24.9375 9.1875 -1.65625
-15.0625 -9.515625 4.3125 -12.984375
4.6015625 29.734375 26.96875 10.0625
-26.3515625 -35.6328125 -19.125 -9.6015625
-26.3515625 -35.6328125 -19.125 -9.6015625
X+y+z+w=6
2x-z-w=4
3y+6w=3
x-w=5
X+y+z+w=6
2x-z-w=4
3y+6w=3
x-w=5
-
x y z
0 0 0
7 -0.8 -2
8.2 2 -4.4
13.4 2.48 4
5.48 4.56 5.44
6.12 1.392 11.68
-3.288 1.648 2.176
6.472 -2.1152 2.944
1.9408 1.7888 -8.3456
17.1344 -0.02368 3.3664
3.60992 6.05376 -2.07104
15.1248 0.643968 16.16128
-8.517312 5.24992 -0.068096
12.318016 -4.2069248 13.74976
-10.9566848 4.1272064 -14.6207744
25.7479808 -5.18267392 10.3816192
-8.56429312 9.49919232 -17.5480218
34.0472141 -4.22571725 26.497577
-23.7232942 12.8188856 -14.6771517
34.4960374 -10.2893177 36.4566569
-39.7459746 12.998415 -32.867953
52.866368 -16.6983898 36.9952449
52.866368 -16.6983898 36.9952449
x-y+z=7
2x-5y=4
3y-z=2