(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

=
−1
1
− 2
3
¢
α2
M1
¤
M2
M2 = {X ∈ M3×1(IR) | (A − 2I3) X = 0}
−1 2 3
= ∈ M3×1(IR) | 1 0 0
−1 2 3
1 0 0
− 2
3
2
3 1
a
b
c
−−−−−→
ℓ1 ↔ ℓ2
− 2
3
−−−→
3ℓ3
2
3
(1) = dim M1 = 1
= 2 ¡
1
a
b
c
1 0 0
−1 2 3
−2 2 3
¤ (A − 2I3) X = 0 ©
M2 =
=
=
−−−−→
ℓ2 + ℓ1
a
b
c
a
b
c
=
1 0 0
−1 2 3
− 2
3
1 0
2
3
0
1
0 2 3
0 2 3
0
b
− 2
3 b
−−−−→
ℓ3 − ℓ2
1 0 0
0 2 3
0 0 0
=
0
0
0
1 0 0
−−−−−→
ℓ3 + 2ℓ1 −1 2 3
0 2 3
∈ M3×1(IR) | a
= 0 2b + 3c = 0
∈ M3×1(IR) | a = 0 c = − 2
3b
0
0
| b ∈ IR
1
− 2
3
=
¢
α3
M2
¤
1
− 2
3
M3
M3 = {X ∈ M3×1(IR) | (A − 3I3) X = 0}
−2 2 3
= ∈ M3×1(IR) | 1 −1 0
a
b
c
− 2
3
2
3
(2) = dim M2 = 1
= 3 ¡
0
a
b
c
=
0
0
0
197