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34 ¥£ ¥¡ ©<br />

CAPÍTULO 3.<br />

−−−−−→<br />

ℓ2<br />

1−α 4<br />

−−−−−→<br />

ℓ3<br />

1−α 4<br />

−−−−−→<br />

ℓ4<br />

1−α 4<br />

−−−−−−→<br />

l1 − α 3 ℓ4<br />

−−−−−−→<br />

l1 − α 2 ℓ3<br />

−−−−−→<br />

l1 − αℓ2<br />

⎡<br />

⎣<br />

⎡<br />

⎣<br />

⎡<br />

⎣<br />

⎡<br />

⎣<br />

⎡<br />

⎣<br />

⎡<br />

⎣<br />

1 α α 2 α 3 |<br />

0 1 0 0 |<br />

0 0 1 − α 4 0 |<br />

0 0 0 1 − α 4 |<br />

1 α α 2 α 3 |<br />

0 1 0 0 |<br />

0 0 1 0 |<br />

0 0 0 1 − α 4 |<br />

1 α α 2 α 3 |<br />

0 1 0 0 |<br />

0 0 1 0 |<br />

0 0 0 1 |<br />

1 α α 2 0 |<br />

0 1 0 0 |<br />

0 0 1 0 |<br />

0 0 0 1 |<br />

1 α 0 0 |<br />

0 1 0 0 |<br />

0 0 1 0 |<br />

0 0 0 1 |<br />

1 0 0 0 |<br />

0 1 0 0 |<br />

0 0 1 0 |<br />

0 0 0 1 |<br />

= [I4 | C −1<br />

α ]<br />

C −1<br />

α =<br />

r(Cα) = 4 ¨ ¡<br />

⎡<br />

⎣<br />

¥§ ¥£ £¥¤ § ¥§ £ ¡ £¢¦£¦¥<br />

££¢<br />

⎤<br />

1 0 0 0<br />

0 0 − α<br />

1−α4 1<br />

1−α4 0 −α 1 − α4 0<br />

−α 1 0 0<br />

1 0 0 0<br />

0 0 − α<br />

1−α4 1<br />

1−α4 0 − α<br />

1−α4 1<br />

1−α4 −α 1 0<br />

0<br />

0<br />

1 0 0 0<br />

0 0 − α<br />

1−α4 1<br />

1−α4 0 − α<br />

1−α4 1<br />

1−α4 −<br />

0<br />

α<br />

1−α4 1<br />

1−α4 0 0<br />

1<br />

1−α4 − α3<br />

1−α4 0 0<br />

0 0 − α<br />

1−α4 1<br />

1−α4 0 − α<br />

1−α4 1<br />

1−α4 0<br />

− α<br />

1−α4 1<br />

1−α4 0 0<br />

1<br />

1−α4 0 − α2<br />

1−α4 0<br />

0 0 − α<br />

1−α4 1<br />

1−α4 0 − α<br />

1−α4 1<br />

1−α4 0<br />

− α<br />

1−α4 1<br />

1−α4 0 0<br />

1<br />

1−α4 0 0 − α<br />

1−α4 0 0 − α<br />

1−α4 1<br />

1−α4 0 − α<br />

1−α4 1<br />

1−α4 0<br />

− α<br />

1−α4 1<br />

1−α4 0 0<br />

1<br />

1−α4 0 0 − α<br />

1−α4 0 0 − α<br />

1−α4 1<br />

1−α4 0 − α<br />

1−α4 1<br />

1−α4 0<br />

− α<br />

1−α4 1<br />

1−α4 0 0<br />

⎤<br />

⎦.<br />

⎤<br />

⎦<br />

⎤<br />

⎦<br />

⎤<br />

⎦<br />

⎦<br />

⎤<br />

⎦<br />

⎤<br />

⎦<br />

¤

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