activ5 d
TRANSCRIPT
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Respuestas a la actividad 5D
Matriz elegida: 30
a) Vector genérico TX:
b) Núcleo de la transformación:
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c) Autovalores de la TL:
Sea AX=kX o det (A-kl)=0
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3
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K puede valer 5
,
4
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K puede valer 2
5
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d-e) Base de autovectores:
6
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7
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Si k=2
(A-5l)X=0
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Autovector asociado:
9
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10
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Si k=5
(A-5l)X
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Autovector asociado:
12
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13
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f) La matriz no es diagonizable, no se puede aplicar ,
no tiene 3 vectores propios LI
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15
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h) Transformación inversa:
Determinante de A= (3*4)-(1*2)=10
1- Por el método de cofactores:
16
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17
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Por la matriz identidad:
18
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19
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es invertible.
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