(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
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−−−−−→<br />
ℓ4 + 3ℓ2<br />
−−−−−→<br />
ℓ4 ↔ ℓ5<br />
⎣<br />
⎡<br />
⎡<br />
⎣<br />
⎡<br />
⎣<br />
⎡<br />
⎣<br />
5 1 3<br />
0 1 −2<br />
0 4 −3 + 5k<br />
0 0 0<br />
0 5(k + 1) 0<br />
5 1 3<br />
0 1 −2<br />
0 0 5(k + 1)<br />
0 5(k + 1) 0<br />
0 0 0<br />
5 1 3<br />
1 0 1<br />
−1 k −k<br />
−2 −1 0<br />
−2 k 0<br />
5 1 3<br />
1 0 1<br />
−1 k −k<br />
−2 −1 0<br />
−2 k 0<br />
⎤<br />
⎡<br />
⎦ ←→ ⎣<br />
⎤<br />
⎦ −−−−−→<br />
ℓ3 + 4ℓ2<br />
⎤<br />
⎤<br />
⎦ −−−−−−−−−−→<br />
ℓ2 −<br />
1<br />
5(k+1) ℓ3<br />
⎡<br />
⎣<br />
ℓ1−<br />
3<br />
5(k+1) ℓ4<br />
⎦ −−−−−→<br />
ℓ3 ↔ ℓ4<br />
5 1 3<br />
0 1 −2<br />
0 0 0<br />
0 0 0<br />
0 0 0<br />
⎡<br />
⎣<br />
⎡<br />
⎣<br />
⎤<br />
5 1 3<br />
0 1 −2<br />
0 0 −2<br />
0 0 0<br />
0 0 0<br />
5 1 3<br />
0 1 −2<br />
0 0 5(k + 1)<br />
0 0 0<br />
0 5(k + 1) 0<br />
5 1 3<br />
0 1 −2<br />
0 5(k + 1) 0<br />
0 0 5(k + 1)<br />
0 0 0<br />
⎦ ¥ k + 1 = 0<br />
⎤<br />
⎤<br />
⎦<br />
⎤<br />
⎦<br />
⎦ ¥ k + 1 = 0<br />
¡ k = −1 ¡ <br />
<br />
k = −1 k = 1<br />
<br />
¨ (u, vk, wk) ¢ <br />
<br />
¡ ¨ F G <br />
<br />
F G<br />
<br />
<br />
¨¥ ¨ ¤ ((1, 1, 1, 0, 0), (1, 0, 0, 1, 0), (0, 0, 0, 0, 1))<br />
¡ § ¢ <br />
¡ <br />
F ¡ £¢ α β F<br />
γ ∈ IR<br />
<br />
¡ <br />
α(1, 1, 1, 0, 0) + β(1, 0, 0, 1, 0) + γ(0, 0, 0, 0, 1) = (0, 0, 0, 0, 0)<br />
⇐⇒ (α + β, α, α, β, γ) = (0, 0, 0, 0, 0)<br />
⇐⇒<br />
⎧<br />
α + β = 0<br />
⎨<br />
α = 0<br />
⎩ β = 0<br />
<br />
α = 0<br />
⇐⇒ β = 0<br />
γ = 0<br />
γ = 0<br />
95