(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

¤ α3
M3
M3 = {X ∈ M3×1(IR) | (A − 3I3) X = 0}
= ∈ M3×1(IR) |
a
b
c
−2 0 −1 | 0
1 −1 1 | 0
2 2 0 | 0
−−−−→
ℓ1 + ℓ3
−2 0 −1
1 −1 1
2 2 0
−2 0 −1 | 0
1 −1 1 | 0
0 2 −1 | 0
−2 0 −1 | 0
0 −2 1 | 0
0 0 0 | 0
a
b
c
−−−−−→
2ℓ2 + ℓ3
¤ (A − 3I3) X = 0 ©
M3 =
=
=
M3
a
b
c
a
b
c
−b
b
2b
−−−−→
ℓ2 + ℓ3
=
(1) + ¢
−−−−→
−ℓ1
=
0
0
0
= 3 ¡
117
−2 0 −1 | 0
0 −2 1 | 0
0 2 −1 | 0
2 0 1 | 0
0 −2 1 | 0
0 0 0 | 0
∈ M3×1(IR) | 2a + c = 0 − 2b + c = 0
∈ M3×1(IR) | c = −2a = 2b
| b ∈ IR
−1
1
2
¢
(2) + ¢
(3) = dim M3 = 1
(3) = 1 + 1 + 1 = 3
¢
A ¡ ¢ ¨
α = 1 B
¡
M ¤
M = {X ∈ M3×1(IR) | (B − I3) X = 0}
= ∈ M3×1(IR) |
a
b
c
−1 1 0
0 −1 1
1 −3 2
a
b
c
=
0
0
0