(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

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§
S1 = x 2 − x + 1, x 2 + x
S2 = x 2 − x + 1, x 2 + x, 2x 2 + 1
¢ ¢
2
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M2×2(IR) §
1 1
S1 = 1 1
1 0
S2 = 0 2
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,
,
2 3
1
1
2
1
2 1
,
,
2 2
1
0
1
3
2 1
,
,
3 1
2
2
1
3
4 3
¨¥ α ¨
β
α (1, −1, 1) + β (1, 1, 0) = (0, 0, 0)
(α, −α, α) + (β, β, 0) = (0, 0, 0) ⇐⇒ (α + β, −α + β, α) = (0, 0, 0)
£¢
⇐⇒
⇐⇒
α + β = 0
−α + β = 0
α = 0
α = 0
β = 0
(1, −1, 1)
(1, 1, 0)¢
α β γ
α (1, −1, 1) + β (1, 1, 0) + γ (2, 0, 1) = (0, 0, 0)
£¢
(α, −α, α) + (β, β, 0) + (2γ, 0, γ) = (0, 0, 0)
⇐⇒ (α + β + 2γ, −α + β, α + γ) = (0, 0, 0)
⇐⇒
⇐⇒
α + β + 2γ = 0
−α + β = 0
α + γ = 0
β = α
γ = −α
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