Курс математики для нематематических специальностей технических университетов: В 2 т. Т.1. Назаров А.И - 286 стр.

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1
k 1
A k λ
1
P
A
(λ) s
(1)
λ
1
s
(1)
C
k
g
(2)
, . . . , g
(k)
s
(2)
, . . . , s
(k)
s
(r)
= α
(r)
2
g
(2)
+ ··· + α
(r)
k
g
(k)
s
(r)
= Dα
(r)
,
D =
£
s
(1)
, g
(2)
, . . . , g
(k)
¤
α
(r)
=
h
0, α
(r)
2
, . . . , α
(r)
k
i
T
D D
= D
1
As
(r)
= λ
r
s
(r)
ADα
(r)
= λ
r
Dα
(r)
,
D
ADα
(r)
= λ
r
α
(r)
. (8.1.2)
AD
AD =
h
As
(1)
, Ag
(2)
, . . . , Ag
(k)
i
=
h
λ
1
s
(1)
, Ag
(2)
, . . . , Ag
(k)
i
. (8.1.3)
D
AD
D
AD =
c d
d B
,
B k 1 c
d k 1
c = hλ
1
s
(1)
, s
(1)
i = λ
1
; d
r
= hAg
(r)
, s
(1)
i = hg
(r)
, As
(1)
i = λ
1
hg
(r)
, s
(1)
i = 0,
g
(r)
s
(1)
D
AD =
λ
1
0 . . . 0
0
··· B
0
.