.
:
, , .
:
, .. . (0 0 0 ), .. , 01 + + 0n = , , .
( > 1)
1
1
0 1
0 0 0 0 0
, , , .. ( ), . , , , , 1, 2,
1
1
1
1
.
:
, , 2- : .
:
1, (.. ) (.. ).
:
, . :
x + y = 2 + y = 2
x + y = 3 - , x y = 1 - ,
x + y = 1 2x + 2y = 4
x + y = 2
2x + 2y = 4 - .
3x + 3y = 6
, n n .
:
n n , .
:
11 1 + + 1n xn = b1
an1 x1 + + ann xn = bn
= 0, ( ) , , .
11 n1 b1
Ÿ : =
an1... ann bn
, :
|
|
1 0 0 0 b1
0 1 0 0 b2
=
0 0 1 bn
. Ÿ = 1.
, .
, .
= 1 = 0, , , = 0.
.
. , :
11 1 + + 1n xn = 0
ak1 x1 +... + akn xn = 0.
: 1 = 0
2 = 0
n = 0
. , .
: , , , , .
. n n , .
: , , , , .
.
n k
11 a12 a1n
1 = ; A2 = ; An = .
k1 ak2 akn
:
1 1 + 2 2 + + n An,
1, n
, 蠠
1 = 0
2 = 0
n = 0
1, n ,
0
= , .. 1 1 + 2 2 + + n An = 0, 1, 2, , n
0
.
, 1, n ,
a11 1 + + 1n xn = 0
ak1 x1 +... + akn xn = 0
.
. n k , n > k.
.
, k k .
:
1 0 0
1 = 0; 2 = 1; . k = 0 k
0 0 1
.
, 1 1 + + k Ak = 0
|
|
1 = 0 x1
, .. 1 1 + + k Ak = .
k = 0 xk
.
b1
= 1, , n,
bk
1 n:
= 1 1 + + n An.
. ,
11 1 + + 1n xn = b1
ak1 x1 + + akn xn = bk
(.. ) , .
.
, .
:
, 1 1 + + n An = 0
, , 1 = 0,
1 = - 2/x1*A2 - x3/x1*A3 -... xn/x1*An, .. 1 .
. , , .
.
11 1n
=
an1... ann
= 0 ó ( )
:
= 0,
11 1 + + 1n xn = 0
an1 x1 + + ann xn = 0
. , .
, ( ) . (.. ). , . , . = 0.
, .