merek IV Tugas 02.doc

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    METODE INVERS

    A x x = B

    Soal

    . 2.58 a + 3 b - c + 2d = 2 . . 

    . 0 + 1.58 b + 2 c - d = -1

    . -a + 0 - 3.58 c - 2 d = -3 . 

    .  3 a - b + 3 c - 4.8 d = 5

    !"#a$aa% d&a'a# (!$)d&a% %*a'a(a% dala$ b!%')( $a'"&x #bb

    . 2.58 3 -1 2 a = 2

    . 0 1.58 2 -1 b = -1

    .  -1 0 -3.58 -2 c = -3

    . 3 -1 3 -4.8 d = 5

    . Penyelesaian : 

    D!'!"$&%a% ,D

    . 2.58 3 -1 2 a11 = 2.58 1.58 2 -1 1.58 2

    .  0 1.58 2 -1 0 -3.58 -2 0 -3.58

    . -1 0 3.58 -2 -1 3 -4.8 -1 3

    . 3 -1 3 -4.8 a11 = 2.58 1.58 x -3.58 x -4.8 + 2 x -2 x -1

    + -1 x 0 x 3 - -1 x -3.58

    . x -1 + 3 x -2 x 1.58 + -4.8 x

    . 0 x 2

    a11 = 2.58 31150/1 - -131

    .  a11 = 11404

    2.58 3 -1 2 a12 = -3 0 2 -1 0 2

    0 1.58 2 -1 -1 -3.58 -2 -1 3.58

    -1 0 -3.58 -2 3 3 -4.8 3 3

    3 -1 3 -4.8 a12 = -3 0 x -3.58 x -4.8 + 2 x -2 x 3 +

    -1 x -1 x 3 - 3 x -3.58 x -1

    .  + 3 x -2 x 0 + -4.8 x -1 x 2

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      . a12 = -3 - - 20.3

      a12 = 88.020

    2.58 3 -1 2 a13 = -1 0 1.58 -1 0 1.58

    .0 1.58 2 -1 -1 0 -2 -1 0

    -1 0 -3.58 -2 3 -1 -4.8 3 -1

    .3 -1 3 -4.8 a13 = -1 0 x 0 x -4.8 + 1.58 x -2 x 3

    . + -1 x -1 x -1 - 3 x 0 x -1

    .  + -1 x -2 x 0 + -4.8 x -1 x

    .  1.58

    .  a13 = -1 -1048 - /

      a13 = 1804 .

    2.58 3 -1 2 a14 = -2 0 1.58 2 0 1.58

    . 0 1.58 2 -1 -1 0 -3.58 -1 0

    -1 0 -3.58 -2 3 -1 3 3 -1

    . 3 -1 3 -4.8 a14 = -2 0 x 0 x 3 + 1.58 x -3.58 x 3

    .  + 2 x -1 x -1 - 3 x 0 x 2 +

    -1 x -3 x 0 + 3 x -1 x 1.58

      a14 = -2 -14 - - 4/

      a14 = 20458

    D = a11 + a12 + a13 + a14

      = 11404 + 88020 + 1804 + 20458

      = 2400 

    Ado&%' ,Aad2.58 3 -1 2 a11 = + 1 2 -1 1 2

    . 0 1.58 2 -1 0 -3.58 -2 0 -3.58

    .-1 0 -3.58 -2 -1 3 -4.8 -1 3

    . 3 -1 3 -4.8 a11 = + 1 x -3.58 x -4.8 + 2 x -2 x -1

    .  + -1 x 0 x 3 - -1 x -3.58 x -1

    . + 3 x -2 x 1 + - 4.8 x 0 x 2 

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      a11 = + 31151 - -13.1

      a11 = 44211

    2.58 3 -1 2 a12 = - 0 2 -1 0 2

    . 0 1.58 2 -1 -1 -3.58 -2 -1 -3.58

    -1 0 -3.58 -2 3 3 -4.8 3 3

    .3 -1 3 -4.8 a12 = - 0 x -3.58 x -4.8 + 2 x -2 x 3

    .  + -1 x -1 x 3 - 3 x -3.58 x -1

      + 3 x -2 x 0 + -4.8 x -1 x 2

      a12 = - - - 203

    .  a12 = 2.340

    2.58 3 -1 2 a13 = + 0 1.58 -1 0 1.58

    .0 1.58 2 -1 -1 0 -2 -1 0

    -1 0 -3.58 -2 3 -1 -4.8 3 -1

    .3 -1 3 -4.8 a13 = + 0 x 0 x -4.8 + 1.58 x -2 x 3

    + -1 x -1 x -1 - 3 x 0 x -1

    . + -1 x -2 x 0 + -4.8 x -1 x 1

      a13 = + -1048 - /

     a13 = -1804

    2.58 3 -1 2 a14 = - 0 1.58 2 0 1.58

    . 0 1.58 2 -1 -1 0 -3.58 -1 0

    -1 0 -3.58 -2 3 -1 3 3 -1

    .3 -1 3 -4.8 a14 = - 0 x 0 x 3 + 1.58 x -3.58 x 3

    .  + 2 x -1 x -1 - 3 x 0 x 2 +

      -1 x -3.58 x 0 + 3 x -1 x 1.58

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      a14 = - -14 - -4/

      a14 = 1022

    2.58 3 -1 2 a21= - 3 -1 2 3 -1

    0 1.58 2 -1 0 -3.58 -2 0 -3.58

    -1 0 -3.58 -2 -1 3 -4.8 -1 3

    3 -1 3 -4.8 a21 = - 3 x -3.58 x -4.8 + -1 x -2 x -1 +

      2 x 0 x 3 - -1 x -3.58 x 2 + 3 x

      -2 x 3 + -4.8 x 0 x -1

    . a21 = - 4.552 - -10.8

    a21 = -0.32

    2.58 3 -1 2 a22 = + 2.58 -1 2 2 -1

    . 0 1.58 2 -1 -1 -3.58 -2 -1 -3.58

    -1 0 -3.58 -2 3 3 -4.8 3 3

    .3 -1 3 -4.8 a22 = + 2.58 x -3.58 x -4.8 + -1 x -2 x 3

      + 2 x -1 x 3 - 3 x -3.58 x 2 +

    .  3 x -2 x 2 + -4.8 x -1 x -1

    a22 = + 44335 - -41.8

    a22 = 805

    2.58 3 -1 2 a23 = - 2.58 3 2 2 3

    . 0 1.58 2 -1 -1 0 -2 -1 0

    .-1 0 -3.58 -2 3 -1 -4.8 3 -1

    . 3 -1 3 -4.8 a23 = - 2.58 x 0 x -4.8 + 3 x -2 x 3 +

    .  2 x -1 x -1 - 3 x 0 x 2 +

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      -4.8 x -1 x 3

    .  a23 = - -1 - 1.

    a23 = 3550

    2.58 3 -1 2 a24 = + 2.58 3 -1 2 3

    . 0 1.58 2 -1 -1 0 -3.58 -1 0

    -1 0 -3.58 -2 3 -1 3 3 -1

    .3 -1 3 -4.8 a24 = + 2.58 x 0 x 3 + 3 x -3.58 x 3 +

    . -1 x -1 x -1 - 3 x 0 x -1 +

    . -1 x -3.58 x 2 + 3 x -1 x 3

      a24 = + -33.220 - 0.2

     a24 = -3345

    2.58 3 -1 2 a31= + 3 -1 2 3 -1

    . 0 1.58 2 -1 1.58 2 -1 1.58 2

    -1 0 -3.58 -2 -1 3 -4.8 -1 3

    .3 -1 3 -4.8 a31= + 3 x 2 x -4.8 + -1 x -1 x -1 +

    . 2 x 1.58 x 3 - -1 x 2 x 2 + 3 x -1

    .  x 3 + -4.8 x 1.58 x -1

    a31= + -20.320 - -5.4

    a31= -14.04

    2.58 3 -1 2 a32 = - 2.58 -1 2 2 -1

    .0 1.58 2 -1 0 2 -1 0 2

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    -1 0 -3.58 -2 3 3 -4.8 3 3

    .3 -1 3 -4.8 a32 = - 2.58 x 2 x -4.8 + -1 x -1 x 3 + 2 x

    . 0 x 3 - 3 x 2 x 2 + 3 x -1 x 2

    + . . - 4.8 x 0 x -1

    a32 = - -21/8 - 4.3

    a32 = 2028

    2.58 3 -1 2 a33 = + 2.58 3 2 2 3

    .0 1.58 2 -1 0 1.58 -1 0 1.58

    -1 0 -3.58 -2 3 -1 -4.8 3 -1

    .3 -1 3 -4.8 a33 = + 2.58 x 1.58 x -4.8 + 3 x -1 x 3 + 2

    .  x 0 x -1 - 3 x 1.58 x 2 + -1 x -1 x

    .  2 + -4.8 x 0 x 3

    a33 = + -28.5/ - 121

    a33 = -40.2/

    2.58 3 -1 2 a34 = - 2.58 3 -1 2 3

    . 0 1.58 2 -1 0 1.58 2 0 1.58

    .-1 0 -3.58 -2 3 -1 3 3 -1

    .  3 -1 3 -4.8 a34 = - 2.58 x 1.58 x 3 + 3 x 2 x 3 + -1 x

    . 0 x -1 - 3 x 1.58 x -1 + -1 x 2 x 2

    . + 3 x 0 x 3

    .

    . a34 = - 3022 - -

    a34 = -4012

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    2.58 3 -1 2 a41 = - 3 -1 2 3 -1

    0 1.58 2 -1 1.58 2 -1 1.58 2

    -1 0 -3.58 -2 0 -3.58 -2 0 -3.58

    3 -1 3 -4.8 a41 = - 3 x 2 x -2 + -1 x -1 x 0 + 2 x 1.58

    .  x -3.58 - 0 x 2 x 2 + -3.58 x -1 x .

    . 3 + -2 x 1.58 x -1

    a41 = - -23.313 - 13.

    a41 = 3/.213

    2.58 3 -1 2 a42 = + 2.58 -1 2 2 -1

    0 1.58 2 -1 0 2 -1 0 2

    -1 0 -3.58 -2 -1 -3.58 -2 -1 -3.58

    3 -1 3 -4.8 a42 = + 2.58 x 2 x -2 + -1 x -1 x -1 + 2 x

    . 0 x -3.58 - -1 x 2 x 2 + -3.58 x -1

    . x 2 + -2 x 0 x -1

    . a42 = + -11.320 - 52

    a42 = -1.55

    2.58 3 -1 2 a43 = - 2.58 3 2 2 3

    0 1.58 2 -1 0 1.58 -1 0 1

    -1 0 -3.58 -2 -1 0 -2 -1 0

    3 -1 3 -4.8 a43 = - 2.58 x 1.58 x -2 + 3 x -1 x -1 + 2 x

    . 0 x 0 - -1 x 1.58 x 2 + 0 x -1 x 2

    + -2 x 0 x 3

    a43 = - -5153 - -32

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    a43 = 13

    2.58 3 -1 2 a44 = + 2.58 3 -1 2 3

    0 1.58 2 -1 0 1.58 2 0 1

    -1 0 -3.58 -2 -1 0 -3.58 -1 0

    3 -1 3 -4.8 a44 = + 2.58 x 1.58 x -3.58 + 3 x 2 x -1

    + . -1 x 0 x 0 - -1 x 1.58 x -1 + 0 x

    2 . x 2 + -3.58 x 0 x 3

    . a44 = + -20.54 - 1.

     a44 = -22.1/4

    D = 44211 2.340 -18084 1022

    . -0.32 8.05 35.50 -34.45

    . -14.04 2.028 -40.2/ -40.12

    . 3/.213 -1.55 1.3 -22.1/4 

    Dad = 44211 -0.32 -14.04 3/.213

    2.340 8.05 2.028 -1.55

      -18084 35.50 -40.2/ 1.3

      1022 -34.45 -40.12 -22.1/4

     

    A -1  = 1 44211 -0.32 -14.04 3/.213

    2400 2.340 8.05 2.028 -1.55

      -18084 35.50 -40.2/ 1.3

      1022 -34.45 -40.12 -22.1/4

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    A-1

      = 0.183/4/32/ -0.2504 -0.01435/ 0.1542//3

      0.121420/ 0.35/82440/ 0.1081/83 -0.08811235

      -0.0/50//0/ 0.14//3453 -0.188510 0.008282418

      0.042514308 -0.1050531 -0.1/83831 -0.021515 

    x = A -1  x B

    a 0.183/4/32/ -0.2504 -0.01435/ 0.1542//3 2

     b 0.121420/ 0.35/82440/ 0.1081/83 -0.08811235 -1

    c -0.0/50//0/ 0.14//3453 -0.188510 0.008282418 -3

    d 0.042514308 -0.1050531 -0.1/83831 -0.021515 5 

    a 0.183/4/32/ x 2 + -0.2504 x-1 + -0.01435/ x-3 + 0.1542//3 x5

     b 0.121420/ x 2 + 0.35/82440/ x-1 + 0.1081/83 x-3 + -0.08811235x5

    c -0.0/50//0/ x 2 + 0.14//3453 x-1 + -0.188510 x-3 + 0.008282418 x5

    d 0.042514308 x 2 + -0.1050531 x-1 + -0.1/83831 x-3 + -0.021515x5

    .  a = 15//38/5

     b = -0./825232

    c = 0.25001308

    d = 0.23404

    METODE DETERMINAN

    .  a&  = D&  

    . D 

    2.58 a + 3 b - c + 2 d = 2

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    . 0 + 1.58 b + 2 c - d = -1

    . -a + 0 - 3.58 c - 2 d = -3

    .  3 a - b + 3 c - 4.8 d = 5

    !"#a$aa% d&a'a# (!$)d&a% %*a'a(a% dala$ b!%')( $a'"&x #bb

    2.58 3 -1 2 a 2  

    . 0 1.58 2 -1 b = -1

    -1 0 -3.58 -2 c -3

    .3 -1 3 -4.8 d 5

    A = 2.58 3 -1 2

     0 1.58 2 -1

    -1 0 -3.58 -2

    3 -1 3 -4.8

    D!'!"$&%a% Da"& A

    D = 2400

    . 2 3 -1 2 = 2 1.58 2 -1 1.58 2

    -1 1.58 2 -1 0 -3.58 -2 0 -3.58

    -3 0 -3.58 -2 -1 3 -4.8 -1 3

    . 5 -1 3 -4.8 = 2 1.58 x -3.58 x -4.8 + 2 x -2 x -1 + -1 x 0

    . x 3 - -1 x -3.58 x -1 + 3 x -2 x 1.58 +

    . -4.8 x 0 x 2

    .  = 2 31.151 - -13.1

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     = 84.421

    .  = -3 -1 2 -1 -1 2

      -3 -3.58 -2 -3 -3.58

      5 3 -4.8 5 3

    = -3 -1 x -3.58 x -4.8 + 2 x -2 x 5 + -1 x

    . -3 x 3 - 5 x -3.58 x -1 + 3 x -2 x -1

    . + - 4.8 x -3 x 2

    .  = -3 -28.184 - 52./

    = 242.52

    = -1 -1 1.58 -1 -1 1.58

     -3 0 -2 -3 0

      5 -1 -4.8 5 -1

    = -1 -1 x 0 x -4.8 + 1.58 x -2 x 5 + -1 x

    . -3 x -1 - 5 x 0 x -1 + -1 x -2 x -1

    . + -4.8 x -3 x 1.58

    = -1 -18.80 - 20.8

      = 3.552

    = -2 -1 1.58 2 -1 1.58

      -3 0 -3.58 -3 0

      5 -1 3 5 -1

    .  = -2 -1 x 0 x 3 + 1.58 x -3.58 x 5 + 2 x

    .  -3 x -1 - 5 x 0 x 2 + -1 x -3.58 x

    . -1 + 3 x -3 x 1.58

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    . = -2 -22.282 - -1/.8

     = 84

    D1 = 84.421 + 242.52 + 3.552 + 84

    . = 3/.58

    a = D1 3/.58

      D 2400

    a = 15//38/5 

    2.58 2 -1 2 = 2.58 -1 2 -1 -1 2

    . 0 -1 2 -1 -3 -3.58 -2 -3 -3.58

    -1 -3 -3.58 -2 5 3 -4.8 5 3

    .3 5 3 -4.8 = 2.58 -1 x -3.58 x -4.8 + 2 x -2 x 5

    .  + -1 x -3 x 3 - 5 x -3.58 x

    . -1 + 3 x -2 x -1 + -4.8 x -3

    .  x 2

    = 2.58 -28.184 - 52./

    = -20881

    . = -2 0 2 -1 0 2

    -1 -3.58 -2 -1 -3.58

      3 3 -4.8 3 3

    = -2 0 x -3.58 x -4.8 + 2 x -2 x 3

    .  + -1 x -1 x 3 - 3 x -3.58 x

    . -1 + 3 x -2 x 0 + -4.8 x -1

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    . x 2   . 

    . = -2 - - 20.3

    = 58.80

      = -1 0 -1 -1 0 -1

      -1 -3 -2 -1 -3

      3 5 -4.8 3 5

    = -1 0 x -3 x -4.8 + -1 x -2 x 3 + -1

    . x -1 x 5 - 3 x -3 x -1 + 5 x -2

    . x 0 + -4.8 x -1 x -1

    . = -1 11 - 4.2

    = -.8

    = -2 0 -1 2 0 -1

      -1 -3 -3.58 -1 -3

      3 5 3 3 5

    = -2 0 x -3 x 3 + -1 x -3.58 x 3 +

    . 2 x -1 x 5 - 3 x -3 x 2 +

    . 5 x -3.58 x 0 + 3 x -1 x -1

    . = -2 0./40 - -15.0

      = -31.480

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    D2 = -208.81 + 58.80 + -.8 + -31.480

    = -188.281

     b = D2 = -188.281

     D 2400

     b = -0./825232 

    2.58 3 2 2 = 2.58 1.58 -1 -1 1 -1

    . 0 1.58 -1 -1 0 -3 -2 0 -3

    .-1 0 -3 -2 -1 5 -4.8 -1 5

    . 3 -1 5 -4.8 = 2.58 1.58 x -3 x -4.8 + -1 x -2 x -1

    . + -1 x 0 x 5 - -1 x -3 x -1

    . + 5 x -2 x 1 + - 4.8 x 0 x -1

    .  = 2.58 20./52 - -18.8

    = 102044

    = -3 0 -1 -1 0 -1

      -1 -3 -2 -1 -3

      3 5 -4.8 3 5

    = -3 0 x -3 x -4.8 + -1 x -2 x 3 +

    . -1 x -1 x 5 - 3 x -3 x -1 +

    . 5 x -2 x 0 + -4.8 x -1 x -1

      = -3 11 - 4.2

      = -20.4

      = 2 0 1.58 -1 0 1.58

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      -1 0 -2 -1 0

    3 -1 -4.8 3 -1

    = 2 0 x 0 x -4.8 + 1.58 x -2 x 3

    + . -1 x -1 x -1 - 3 x 0 x -1

    + . -1 x -2 x 0 + -4.8 x -1 x

    1.58 . = 2 -10.480 - /.

      = -3.128

      = -2 0 1.58 -1

    0 1.58 -1 0

    -3 -1 0 3

    -1 5 3 -1 = -2 0 x 0

    x 5 + 1.58 x -3 x 3 + . -1 x

    -1 x -1 - 3 x 0 x -1 + .  -1 x

    -3 x 0 + 5 x -1 x 1.58 . = -2 -

    15.220 - -/. =

    14.40

    D3 = 102044 + -20.4 + -3.128 + 14.40

    = 0.15

    c = D3 = 0.15

      D 2400

    c = 0.25001308 

    2.58 3 -1 2 = 2.58 1.58 2 -1 1.58 2

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    . 0 1.58 2 -1 0 -3.58 -3 0 -3

    .-1 0 -3.58 -3 -1 3 5 -1 3

    . 3 -1 3 5 = 2.58 1.58 x -3.58 x 5 + 2 x -3 x -1

    . + -1 x 0 x 3 - -1 x -3.58 x

    . -1 + 3 x -3 x 1.58 + 5 x 0 x

    2 = 2.58 -22.282 - -1/.8

     = -11.54

      = -3 0 2 -1 0 2

    -1 -3.58 -3 -1 -3.58

    3 3 5 3 3

    = -3 0 x -3.58 x 5 + 2 x -3 x 3 +

    . -1 x -1 x 3 - 3 x -3.58 x -1

    .  + 3 x -3 x 0 + 5 x -1 x 2

    = -3 -15 - 0./

    = 4/.220

      = -1 0 1.58 -1 0 1.58

      -1 0 -3 -1 0

    3 -1 5 3 -1

    = -1 0 x 0 x 5.0 + 1.58 x -3 x 3 +

    .  -1 x -1 x -1 - 3 x 0 x -1 +

    .  -1 x -3 x 0 + 5.0 x -1 x 1.58

    . = -1 -15.220 - -/.

     = /.320

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      = -2 0 1.58 2 0 1.58

      -1 0 -3.58 -1 0

     3 -1 3 3 -1

    = -2 0 x 0 x 3 + 1.58 x -3.58 x 3 +

    . 2 x -1 x -1 - 3 x 0 x 2 +

    . -1 x -3.58 x 0 + 3 x -1 x 1.58

    . = -2 -14. - -4./

    = 20.458

    D4 = -11.54 + 4/.220 + /.320 + 20.458

    = 3.435

    d = D4 = 3.435

      D 2400

    d = 0.23404

    METODE ASS 6ORDAN 

    2.58 a + 3 b - c + 2 d = 2. . . . . 71

    . 0 + 1.58 b + 2 c - d = -1. . . . . 72

    . -a + 0 - 3.58 c - 2 d = -3. . . . . 73

    .  3 a - b + 3 c - 4.8 d = 5. . . . . .74

    Penyelesaian : 

    2.58 3 -1 2 2 1 0 0 0

    . 0 1.58 2 -1 -1 0 1 0 0

    . -1 0 -3.58 -2 -3 0 0 1 0

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    . 3 -1 3 -4.8 5 0 0 0 1

    . 1 1.1 -0.4 0./8 0./8 0.3 0 0 0

    . 0 1.58 2 -1 -1 0 1 0 0

    . 0 1.1 -04 -1.22 -2.2 0.3 0 1 0

    . 0 -4.5 4.1 -/.13 -2./ -1.2 0 0 1

    . 1 0 -1. 1511 1511 0.3 -0./ 0 0

    . 0 1 1.2/ -0.3 -0.3 0 0.3 0 0

    . 0 0 -5.4 -0.4 -1.5 0.3 -0./ 1 0

    . 0 0 .84 -./ -02 -1.2 2.8 0 1

    . 1 0 0 1.8 2.0 0 0 -1 0

    . 0 1 0 -0./5 -1 0 0.3 0.12 0

    . 0 0 1 0.0 0.2/ -0.0/ 0.135 -0.1/ 0

    0 0 0 -10. -2.8 -0.4 1.50 1.808 1

    1 0 0 0 a = 15//38/5

    0 1 0 0 b = -0./825232

    0 0 1 0 c = 0.25001308

    0 0 0 1 d = 0.23404

    METODE E9IMINASI ASS 

    2.58 a + 3 b - c + 2 d = 2

    . 0 + 1.58 b + 2 c - d = -1

      .--a + 0 - 3.58 c - 2 d = -3

      .3 a - b + 3 c - 4.8 d = 5

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    a b c d =

    258 3 -1 2 2 ........ 1

    0 158 2 -1 -1 ........ 2

    -1 0 -358 -2 -3 ........ 3

    3 -1 3 -48 5 ........ 4

    158 2 -1 -1 ........ 5

    112/0/ -3/5/ -122480 -222480 ........

    -44883/2 412/0/ -/125581 2/4418 ........ /

    -543484 -048883 -148883 ........ 8

    8442/44 -323 -01323 ........

    -108510 -28083 ........ 10

    -108510 d = -2.8083

    d = -2.8083

    -108510

    = 0.23404

    S)b#'&')#& %&la& :d: (! ;!"#a$aa% 8  

    -5.43484 c + -0.48883 d = -1.48883

    -5.43484 c + -0.48883 x 0.23404 = -1.48883

    -5.43484 c + 7 -0.12888/32 = -1.48883

    -5.43484 c - 0.12888/32 = -1.48883

    -5.43484 c = -1.48883 + 0.12888/32

    -5.43484 c = -1.35/

    c = -1.35/

    -5.43484

      = 0.25001308

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    S)b#'&')#& %&la& :c: da% :d: (! ;!"#a$aa% 5  

    1.58 b + 2 c - 1 d = -1

    1.58 b + 2 7 0.25001308 - 1 7 0.23404 = -1

    1.58 b + 7 0.5000381 - 7 0.23404 = -1

    1.58 b - 70.5000381 + 70.23404 = -1

    1.58 b - -0.2332552 = -1

    .  1.58 b = -1 + -0.2332552

    1.58 b = -1. 2332552

      b = -1.  2332552

    1.58

      = -0./825232

    S)b#'&')#& %&la& :b: :c: da% :d: (! ;!"#a$aa% 1 

    3 a - 1 b + 3 c + -4.8 d = 5

    3 a - 1 7-0./825232 + 370.25001308 + -4.8 70.23404 = 5

    3 a - 77-0./825232 + 7 0./5005/24 + 7 -1.2550110 = 5

    3 a + 0./825232 - 7 -0./5005/24 - 1.2550110 = 5

    3 a - 7 -0.2/083/4 = 5

    . a = 15//38/5

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