(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
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96 CAPÍTULO £¡ §© ¢¦£ ¤ ¢¥ § ¡<br />
8.<br />
<br />
§ ¢ 1<br />
1<br />
α β ¡ <br />
γ ∈ IR<br />
<br />
⇐⇒<br />
⇐⇒<br />
1<br />
1<br />
1<br />
2<br />
1<br />
3<br />
1 3 2<br />
<br />
1<br />
α 1 + β<br />
1<br />
α + β + γ = 0<br />
1<br />
2<br />
3<br />
α + 2β + 3γ = 0<br />
α + 3β + 2γ = 0<br />
1 1 1<br />
1 2 3<br />
1 3 2<br />
α<br />
β<br />
γ<br />
<br />
1<br />
+ γ<br />
<br />
=<br />
0<br />
0<br />
0<br />
3<br />
2<br />
<br />
=<br />
0<br />
0<br />
0<br />
¡ ¨ α<br />
β<br />
γ<br />
1<br />
<br />
<br />
=<br />
<br />
1<br />
, 2<br />
3<br />
0<br />
0<br />
0<br />
<br />
1<br />
, 3<br />
2<br />
¡ ¨ G = 〈(1, −1, 0), (0, 1, 4), (2, −1, 4)〉<br />
<br />
<br />
¨¥ ¨ G = 〈(1, −1, 0), (0, 1, 4), (2, −1, 4)〉<br />
<br />
IR 3 G <br />
<br />
<br />
1 −1 0<br />
0 1 4<br />
2 −1 4<br />
−−−−−→<br />
ℓ3 − 2ℓ1<br />
1 −1 0<br />
0 1 4<br />
0 1 4<br />
<br />
−−−−→<br />
ℓ3 − ℓ2<br />
G = 〈(1, −1, 0), (0, 1, 4), (2, −1, 4)〉<br />
= 〈(1, −1, 0), (0, 1, 4), (0, 1, 4)〉<br />
= 〈(1, −1, 0), (0, 1, 4), (0, 0, 0)〉<br />
= 〈(1, −1, 0), (0, 1, 4)〉<br />
¡ ¨ § IR 3 § <br />
Sk = (1, 0, 2), (−1, 2, −3), (−1, 4, k)<br />
1 −1 0<br />
0 1 4<br />
0 0 0<br />
k ∈ IR Sk<br />
¡ IR 3