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32 ¥£ ¥¡ ©<br />

CAPÍTULO 3.<br />

−−−−−−→<br />

ℓ2 − 3α ℓ1<br />

−−−−−−−→<br />

−2ℓ2<br />

−−−−−−→<br />

3ℓ3<br />

−−−−−→<br />

ℓ2 + ℓ3<br />

−−−−−−−−−−−−−→<br />

ℓ2 − (−6α 2 + 4)ℓ3<br />

B −1<br />

α =<br />

−−−−−−→<br />

ℓ1 + αℓ3<br />

−−−−−→<br />

1<br />

6α ℓ2<br />

−−−−−−→<br />

ℓ1 − αℓ2<br />

− 1<br />

1 1 −α |<br />

0 −3α 3α 2 − 2 |<br />

0 −2α 2α 2 − 1 |<br />

1 1 −α |<br />

0 6α −6α 2 + 4 |<br />

0 −2α 2α 2 − 1 |<br />

1 1 −α |<br />

0 6α −6α 2 + 4 |<br />

0 −6α 6α 2 − 3 |<br />

1 1 −α |<br />

0 6α −6α 2 + 4 |<br />

0 0 1 |<br />

1 1 −α |<br />

0 6α 0 |<br />

0 0 1 |<br />

1 1 0 |<br />

0 6α 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 />

2<br />

0<br />

α<br />

α<br />

1−2α 2<br />

3α<br />

1 α<br />

2 −2<br />

α<br />

−2 0 3<br />

α = 0£¢ Bα<br />

¥§ ¥£ £¥¤ § ¥§ £ ¡ £¢¦£¦¥<br />

££¢<br />

<br />

0 1 0<br />

1 −3α 0<br />

0 −2α 1<br />

0 1 0<br />

−2 6α 0<br />

0 −2α 1<br />

0 1 0<br />

−2 6α 0<br />

0 −6α 3<br />

0 1 0<br />

−2 6α 0<br />

−2 0 3<br />

<br />

<br />

<br />

0 1 0<br />

6(1 − 2α 2 ) 6α 3(6α 2 − 4)<br />

−2 0 3<br />

−2α 1 3α<br />

6(1 − 2α 2 ) 6α 3(6α 2 − 4)<br />

−2 0 3<br />

−2α 1 3α<br />

1−2α 2<br />

α 1<br />

6α 2 −2 0<br />

−4<br />

2α<br />

3<br />

− 1<br />

2<br />

0<br />

α<br />

α<br />

1−2α 2<br />

3α<br />

1 α<br />

2 −2<br />

α<br />

−2 0 3<br />

<br />

<br />

<br />

<br />

= [I3 | B −1<br />

α ]<br />

¨ ¨ ¡ <br />

¡<br />

<br />

= 1<br />

<br />

−1 0 2<br />

1 − 2α<br />

α<br />

2 α 3α2 − 2<br />

−2α 0 3α<br />

¡ ¨ Cα =<br />

¢ <br />

r(Cα) =<br />

1 α 2 = 1<br />

4 α 2 = 1<br />

<br />

1 α α 2 α 3<br />

α α 2 α 3 1<br />

α 2 α 3 1 α<br />

α 3 1 α α 2<br />

α <br />

Cα<br />

¡ ¨ <br />

<br />

<br />

−1 Cα <br />

¤

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