Advanced Math Archive: Questions from August 09, 2024
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Encontrar los valores de
\alpha ,\beta
tales que los siguientes dos enunciados sean verdaderos. a).
(2,\alpha ,3,-\beta
)inGen{(2,3,1,-5),(0,2,-1,3)}
. b).
B={(\alpha ^(2),0,1),(0,\alpha
,2),(1,0,1)}
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Si
a=[[1],[2],[-3]],b=[[-3],[-5],[7]],c=[[3],[7],[-10]],d=[[-5],[-8],[11]]
En la determinación los coeficientes
c_(1),c_(2)
y
c_(3)
tales que a)
c_(1)b+c_(2)a+c_(3)d=c
b)
c_(1)a+c_(2)c+c_(3)b=0
c)
c_
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Si
a=[[1],[5]],b=[[2],[2]],c=[[2],[10]],d=[[7],[11]]
Clasifique cada uno de los siguientes espacios generados: a)
Gen
{a}
b) Gen
{a,d}
c) Gen
{a,c}
d)
Gen{a,b}
e) Gen
{b}
De acuerdo a las siguientes c
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