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Metodo de Thomas

  B1        C1                                X1                  R1
  A2        B2         C2              X      X2         =        R2
            A3         B3       C3            X3                  R3
                       A4       B4            X4                  R4



 2.04        -1                               X1                  40.8               A1=
  -1        2.04        -1             X      X2         =        0.8                A2=
             -1        2.04      -1           X3                  0.8                A3=
                        -1      2.04          X4                 200.8               A4=




  1                                          U11        U12
 L21         1                         X                U22       U23                 =
            L32         1                                         U33       U34
                       L43       1                                          U44


   1                                         2.04        -1
-0.4902       1                                        1.5498      -1
          -0.64524       1             X                        1.394757      -1      =
                     -0.71697    1                                         1.32303


  1                                           D1                  R1
 L21         1                         X      D2         =        R2
            L32         1                     D3                  R3
                       L43       1            D4                  R4


   1                                          40.8                40.8
-0.4902       1                        X      20.8       =        0.8
          -0.64524       1                 14.221053              0.8
                     -0.71697    1         210.99608             200.8


 U11        U12                               X1                  D1
            U22        U23             X      X2         =        D2
                       U33      U34           X3                  D3
                                U44           X4                  D4
2.04      -1                            65.969834         40.8     RESPUESTA=
       1.549804      -1             X   93.778462   =     20.8
                  1.39476     -1        124.53823       14.22105
                            1.323       159.47952       210.9961
0            B1=    2.04   C1=   -1   R1= 40.8
 -1           B2=    2.04   C2=   -1   R2= 0.8
 -1           B3=    2.04   C3=   -1   R3= 0.8
 -1           B4=    2.04   C4=   0    R4= 200.8




B1     C1
A2     B2     C2
       A3     B3     C3
              A4     B4


2.04    -1
 -1    2.04    -1
        -1    2.04    -1
               -1    2.04
RESPUESTA=    65.97
             93.778
             124.54
             159.48

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Solving a system of linear equations using Thomas method

  • 1. Metodo de Thomas B1 C1 X1 R1 A2 B2 C2 X X2 = R2 A3 B3 C3 X3 R3 A4 B4 X4 R4 2.04 -1 X1 40.8 A1= -1 2.04 -1 X X2 = 0.8 A2= -1 2.04 -1 X3 0.8 A3= -1 2.04 X4 200.8 A4= 1 U11 U12 L21 1 X U22 U23 = L32 1 U33 U34 L43 1 U44 1 2.04 -1 -0.4902 1 1.5498 -1 -0.64524 1 X 1.394757 -1 = -0.71697 1 1.32303 1 D1 R1 L21 1 X D2 = R2 L32 1 D3 R3 L43 1 D4 R4 1 40.8 40.8 -0.4902 1 X 20.8 = 0.8 -0.64524 1 14.221053 0.8 -0.71697 1 210.99608 200.8 U11 U12 X1 D1 U22 U23 X X2 = D2 U33 U34 X3 D3 U44 X4 D4
  • 2. 2.04 -1 65.969834 40.8 RESPUESTA= 1.549804 -1 X 93.778462 = 20.8 1.39476 -1 124.53823 14.22105 1.323 159.47952 210.9961
  • 3. 0 B1= 2.04 C1= -1 R1= 40.8 -1 B2= 2.04 C2= -1 R2= 0.8 -1 B3= 2.04 C3= -1 R3= 0.8 -1 B4= 2.04 C4= 0 R4= 200.8 B1 C1 A2 B2 C2 A3 B3 C3 A4 B4 2.04 -1 -1 2.04 -1 -1 2.04 -1 -1 2.04
  • 4. RESPUESTA= 65.97 93.778 124.54 159.48