Курс математики для нематематических специальностей технических университетов: В 2 т. Т.1. Назаров А.И - 283 стр.

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det[e
(1)
e
(2)
e
(3)
] = 1
QR
k C
n
(k n) k
a
(1)
, . . . , a
(k)
b
(1)
= a
(1)
b
(2)
= a
(2)
α
12
b
(1)
α
12
hb
(2)
, b
(1)
i = 0 b
(2)
b
(1)
hb
(2)
, b
(1)
i = ha
(2)
, b
(1)
i α
12
hb
(1)
, b
(1)
i = 0 α
12
=
ha
(2)
, b
(1)
i
hb
(1)
, b
(1)
i
.
b
(1)
, . . . , b
(m)
m < k
b
(m+1)
= a
(m+1)
α
1,m+1
b
(1)
. . . α
m,m+1
b
(m)
. (7.7.1)
b
(r)
1 r m
hb
(m+1)
, b
(r)
i = ha
(m+1)
, b
(r)
i α
r,m+1
hb
(r)
, b
(r)
i = 0
α
r,m+1
= ha
(m+1)
, b
(r)
i
±
hb
(r)
, b
(r)
i
b
(1)
, . . . , b
(k)
b
(1)
6= θ
b
(m)
6= θ b
(m+1)
= θ
θ = a
(m+1)
α
1,m+1
b
(1)
. . . α
m,m+1
b
(m)
b
(1)
, . . . , b
(m)
a
(1)
, . . . , a
(m)
θ = a
(m+1)
+ γ
1
a
(1)
+ . . . + γ
m
a
(m)
,
γ
r
, r = 1, . . . , m
a
(m+1)