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146 CAPÍTULO 14. ¦£¦£ ££<br />

¢<br />

§ £ ¡ ¢ ¤£¦¥ § ¢ ©¨<br />

Aα<br />

¡ ¨ α = 0 α = 1<br />

¢ <br />

¢ <br />

£¢<br />

[Aα I3] <br />

|<br />

<br />

−−−−→<br />

ℓ2 − ℓ3<br />

−−−−→<br />

ℓ1 + ℓ3<br />

−−−−→<br />

ℓ1 + ℓ2<br />

[Aα | I3] =<br />

−−−−→<br />

ℓ3 + ℓ1<br />

−−−−→<br />

ℓ2 − ℓ1<br />

−−−−→<br />

1<br />

1−α ℓ2<br />

1<br />

α ℓ3<br />

1 −1 −1 |<br />

⎡<br />

⎣<br />

⎡<br />

⎣<br />

0 1 0 |<br />

0 0 1 |<br />

1 −1 0 |<br />

0 1 0 |<br />

0 0 1 |<br />

1 0 0 |<br />

0 1 0 |<br />

0 0 1 |<br />

A −1<br />

α =<br />

1 −1 −1 |<br />

1 −α −α |<br />

−1 1 α + 1 |<br />

1 −1 −1 |<br />

1 −α −α |<br />

0 0 α |<br />

1 −1 −1 |<br />

0 1 − α 1 − α |<br />

0 0 α |<br />

1 −1 −1 |<br />

0 1 1 |<br />

0 0 1 |<br />

1 0 0<br />

0 1 0<br />

0 0 1<br />

1 0 0<br />

0 1 0<br />

1 0 1<br />

1 0 0<br />

− 1 1<br />

− 1−α α<br />

1<br />

1−α<br />

1<br />

− α<br />

1<br />

α<br />

0<br />

1<br />

α<br />

1 + 1<br />

α<br />

− 1<br />

1−α<br />

1<br />

α<br />

− α<br />

1−α<br />

− 1<br />

1−α<br />

1<br />

α<br />

⎡<br />

⎣<br />

− α<br />

1−α<br />

− 1<br />

1−α<br />

1<br />

α<br />

− 1<br />

α<br />

− 1<br />

α<br />

− 1<br />

α<br />

0<br />

1<br />

1−α<br />

0<br />

1<br />

1−α<br />

1<br />

1−α<br />

0<br />

1<br />

1−α<br />

1<br />

1−α<br />

0<br />

<br />

1 0 0<br />

−1 1 0<br />

1 0 1<br />

<br />

1 0 0<br />

−1<br />

1−α<br />

1<br />

1−α 0<br />

1<br />

α 0<br />

1<br />

α<br />

0<br />

1<br />

α<br />

1<br />

− α<br />

1<br />

α<br />

1<br />

− α<br />

1<br />

α<br />

0<br />

1<br />

− α<br />

1<br />

α<br />

⎤<br />

⎤<br />

⎦<br />

<br />

<br />

<br />

⎦ = [I3 | A −1<br />

α ]<br />

⎤<br />

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