24. L L1 , j: L L1, L l Î : j( + ) = j() + j(), j(l ) = lj().
j .
24 .
25. L L1 , j: L L1, L l, m Î : j(l + m ) = lj() + mj().
.
1. j(0) = 01, 0 01 L L1 .
2. 1, 2, , L j(1) = 11, j(2) = 21, , j() = 1, j(a1 1 + a2 2 + + a ) = a1 11 + a2 21 + + a 1.
3. 1, 2, , L j(1) = 11, j(2) = 21, , j() = 1, 11, 21, , 1 L1.
4. 1, 2, , L j(1) = 11, j(2) = 21, , j() = 1, 11, 21, , 1 L1.
5. L n- , L1 n - .
6. L L1.
.
1. n (n 1) .
2. n n2 .
V. .
= m ´ n. m- m - m. m- 1 = (11, 21, , m1), 2 = (12, 22, , m2), , n = (1n, 2n, , mn).
26. .
n - n- n.
27. .
18. .
. , . . , .. . , .
, . . - . ( ). , -. , , , . . - . 1, , , +1, , n. 1, , , . , - . +1, + 2, , n
|
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1, , , +1, , n = | . , , . , ( + 1), . , s, + 1, , n , 1, 2, , m. |
= 0. | , ¹ 0, . |
s , 1, , . , s = 1 . , - . , , .. .
. .
. . - - . . , . . .
, :
28. - ( -).
, - , , ( + 1)- , . , . .
. = b.
. , 1. , 1 = . b, 0. 1 = b = 0 1 . , , 1. , 1 ¹ 0, .. 2. 1 . 2 = . , 2 ¹ 0. 1 4- , rang A = rang A1 = 3.
|
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, b = 0 rang A, b ¹ 0 rang A = 3.
19. .
, -.