demostración método de gauss001
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8/17/2019 Demostración Método de Gauss001
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DEMFASE DE ENCERADO:
j i k ai
2 2 1 a2,2 = -3.5
3 2 1 a2,3 = -0.5
4 2 1 a2,4 = -11.5
2 3 1 a3,2 = -3.5
3 3 1 a3,3 = 3.5
4 3 1 a3,4 = -3.5
3 3 2 a3,3 = 4
4 3 2 a3,4 = 8
ai,j=ai,j-((ak,j/ak,k)*ai,k) j=k+1, i=k+1,! "=1,!-1
FASE DE S#S$%$#S%&N 'RORES%A: j i S#
3 2 a2,3*3= -1
3 1 a1,3*3= -2 1 S#+ a1,2*2= -3
S# = 0i=!-11-1
S#= S# + (ai,j*j) j=!,i+1,-1
i=(ai, - S#)/ ai,i
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OSTRACIÓN MÉTODO DE GAUSS=4
j 1 2 3
=a2,2-(a1,2/a1,1)*a2,1 2 1 -3
=a2,3-(a1,3/a1,1)*a2,1 !=3 1 -3 -2
=a2,4-(a1,4/a1,1)*a2,1 3 -2 -1
=a3,2-(a1,2/a1,1)*a3,1
=a3,3-(a1,3/a1,1)*a3,1
=a3,4-(a1,4/a1,1)*a3,1 2 1 -3
=a3,3-(a2,3/a2,2)*a3,2 0 -3.5 -0.5
=a3,4-(a2,4/a2,2)*a3,2 0 -3.5 3.5
2 1 -30 -3.5 -0.50 0 4
!=a!,
3 = 8/4 =
i2 (a2,4-S#)/a2,2 3
1 (a1,4-S#)/a1,1 1
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i!.
-1 2+-3=-1-12 -3-2=-12
-5 3-2-=-5
-1
-11.5
-3.5
-1-11.58
/a!,!
2