Advanced Math Archive: Questions from September 17, 2024
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Dado R1 ={(a,b) ∈ R2 | a > b}, la relación "mayor que", R2
={(a,b) ∈ R2 | a ≥ b}, la relación "mayor o igual que", R3 ={(a,b)
∈R2 | a < b}, la relación "menor que", R4 ={(a,b) ∈R2 |
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Considere el polítopo
P=\cap n_(i)=1^(3)R_(i)
donde
R_(1)={(x,y,z)|x+y+z<=4}
,
R_(2)={(x,y,z)|x<=2,z<=3}
, y
R_(3)={(x,y,z)|x,y,z>=0}
, y la función objetivo
f(x,y,z)=x+z
a) Indique si
P
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Algebra Lineal Demuestre que la matriz
A=[[2,4,6],[4,5,6],[3,1,-2]]
es invertible y escribala como un producto de matrices
elementales. Halle la factorización
LU
de la matriz
[[1,4,6],[2,-1,3],[3,2,5
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