18.06
a0 a1
2 2000 a2 4 a3 12 a4 a5 a6
a7a9a8a9a10
a11a9a12a9a13a9a14a9a15
a10
1) M2 2-131 P.Cli ord 2) M3 2-131 P.Cli ord
3) T11 2-132 T.de Piro 4) T12 2-132 T.de Piro
5) T1 2-131 T.Bohman 6) T1 2-132 T.Pietraho
7) T2 2-132 T.Pietraho 8) T2 2-131 T.Bohman
a16a9a17 a10a19a18a9a20a9a21a9a22 4
a23a9a24a9a25
a26
a24 a27a9a28
1 30
2 16
3 30
4 24
a29
a27 100
a16 a10a19a30a32a31a34a33a9a35a9a36 a26
a24a9a37
a22 a17a9a38
a25
1
1(30 a27 ) a39 A=
2
64 1 12 1
2 4
3
75
a25
(a) a40a9a41a9a42a9a43a9a44a32a45a34a46 q1; q2; q3; a47a9a48 q1; q2
a49
Aa33a9a50a32a51a9a52a34a33a9a35a9a53a9a54 a25
(b) Aa33a9a55a9a56a9a54a9a57a9a58a32a51a9a52a9a31a34a59a9a36a9a60a9a22 q3
a61
(c) a40a9a62 A a33a9a63a9a64a32a51a9a52a34a65a9a33a9a66a9a67a9a68a32a69 Pa25
(d)a40 Ax=
h
1 2 7
iT
a33a9a70a9a71a9a72a9a73a9a74
a25
a16 a10 a11a32a75a9a76 a74a9a77a9a78a9a79a9a80a19a81a9a82a9a83
a27a9a25
2
2(16 a27 ) a84a9a85 det(A)a25
A=
2
66
64
2 1 0 0
1 2 1 0
0 1 2 1
0 0 1 2
3
77
75 a25
a16 a10 a11a32a75a9a76 a74a9a77a9a78a9a79a9a80a19a81a9a82a9a83
a27a9a25
3
3(30a27 )a86a88a87
a35a88a89a88a50 fG
kg,
a30a90a31 G
0 = 0
a80 G
1 = 1
a80 G
k+2 = (Gk +Gk+1)=2a25
(a91
a18 G
k+2 a49 Gk+Gk+1
a33a9a92a9a93
a28 )a57 a24a9a94a9a40
a74 k !1
a95 Gk a33a9a96a9a97 a25
(a) a40a9a98a9a99
"
Gk+2
Gk+1
#
=A
"
Gk+1
Gk
#
a33a9a68a32a69 A
a25
(b)a40 A a33a9a100a9a101a9a102a9a103a9a100a9a101 a45a34a46a9a25
(c) a104 Ak a75a34a105 S kS 1 a33a9a106a9a107 a25
a30a32a31
a49
a35a9a56a9a108a32a109a9a69 (
a110a9a111a9a104
a73a9a112a9a33a9a113a9a114
a75a9a115a34a116 )
a25
(d)a40 k !1a95
a80 G
k
a33a9a96a9a97
a25
a16 a10 a11a32a75a9a76 a74a9a77a9a78a9a79a9a80a19a81a9a82a9a83
a27a9a25
4
4(24 a27 ) a39 A
a49
a35a9a56 3 3a68a32a69a34a117a9a22a9a100a9a101a9a102 0,1,2
a25a19a40
a74a32a118a34a119 a26
a24
a10
(a) Aa33a9a120 a25
(b) det(AT A)a25
(c) det(A+I)a25
(d) (A + I) 1 a33a9a100a9a101a9a102 a25
a16 a10 a11a32a75a9a76 a74a9a77a9a78a9a79a9a80a19a81a9a82a9a83
a27a9a25
5