= ( 1, 2, , ) = ( 1,
2, , ) , :
.
:
1. = .
2. , .
3. .
4. 0, , , .
, (1)
, .
. = (2;1;0), = (1;0;1), = (0;1;2). = (0;4;4) , = 1 2 + 3 .
(1) , ,
.
(2)
, , , , ,
. (3)
(3) , .
(2).
(2) , :
1. .
2. (2) .
-
(2) .
.
Rn, :
1. .
2. Rn .
,
m n , .
aij (i = 1, 2, , m, j = 1, 2,, n), . i , j . aij.
, , .
, = ( ), n - :
.
, a 11, a 22,, ann.
, , .
, An ´ m n- .
.
:
1. ().
2. () , .
3. () (), .
. .
A
|
|
.
A', . . r.
´ = (ij) B ´ = (bij) ´ = (ij), ij = ij + bij.
´ = (ij) B ´ = ´ = (dij), dij = ij.
. , , = 2 3 = = = + =
= .
´ = (ij) Bm ´ k = (bij) ´ k = (ij), cij = i 1 b 1 j + i 2 b 2 j ++ im bmj.
. , , C = A B =
= = .
det A ( | A |, ), , :
1. = 1, A = (a 11),
| A | = = | a 11| = a 11.
2. = 2, ,
.
3. = 3, ,
( ). , , , (. 9).
. 9 |
.