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 González Carlos Israel FECHA: 08- MAYO- 2015

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Ejercicios de algebra lineal tec

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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

  • TAREA #1

  • GRAFICAS DE LAS FUNCIONES

  • TAREA #2

  • 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

  • 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

  • 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

  • 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

  • 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