bludova_t_v_praktikum_z_vishoi_matematiki
.pdfПродовження табл. 1.1
Номер |
А11 |
А12 |
А13 |
А14 |
А21 |
А22 |
А23 |
А24 |
А31 |
А32 |
А33 |
А34 |
А41 |
А42 |
А43 |
А44 |
варіанта |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
46 |
– 1 |
– 2 |
– 5 |
– 5 |
4 |
4 |
– 5 |
– 4 |
3 |
1 |
5 |
5 |
– 1 |
– 2 |
1 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
47 |
– 4 |
2 |
3 |
5 |
2 |
– 4 |
– 3 |
5 |
1 |
1 |
4 |
2 |
3 |
– 4 |
– 3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
48 |
– 1 |
1 |
– 1 |
4 |
5 |
– 4 |
– 5 |
5 |
3 |
– 5 |
– 3 |
4 |
1 |
3 |
4 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
49 |
2 |
– 2 |
5 |
2 |
1 |
– 5 |
3 |
1 |
5 |
3 |
1 |
– 3 |
3 |
5 |
– 5 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50 |
3 |
– 4 |
– 1 |
3 |
– 4 |
4 |
– 5 |
– 3 |
3 |
– 5 |
1 |
5 |
– 2 |
– 3 |
– 3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
51 |
– 1 |
– 5 |
3 |
– 3 |
1 |
– 2 |
– 4 |
3 |
3 |
4 |
4 |
– 2 |
1 |
– 2 |
– 2 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
52 |
2 |
– 1 |
– 1 |
1 |
4 |
– 1 |
4 |
1 |
1 |
3 |
– 4 |
2 |
– 5 |
1 |
– 1 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
53 |
1 |
– 5 |
1 |
– 4 |
– 5 |
1 |
– 1 |
1 |
2 |
3 |
2 |
– 1 |
1 |
– 3 |
– 3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
54 |
1 |
– 1 |
5 |
2 |
2 |
4 |
– 5 |
– 4 |
– 5 |
2 |
– 5 |
– 4 |
1 |
– 1 |
2 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55 |
4 |
1 |
2 |
4 |
– 1 |
– 1 |
3 |
5 |
– 4 |
– 2 |
5 |
– 5 |
– 4 |
– 2 |
– 1 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
56 |
4 |
4 |
3 |
– 4 |
– 2 |
3 |
2 |
– 4 |
– 4 |
1 |
– 4 |
– 4 |
4 |
– 5 |
– 3 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
57 |
– 2 |
2 |
5 |
1 |
– 4 |
– 3 |
3 |
– 3 |
– 5 |
– 5 |
1 |
4 |
2 |
3 |
4 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
58 |
– 3 |
– 4 |
5 |
3 |
1 |
– 3 |
– 3 |
2 |
2 |
3 |
– 1 |
– 4 |
3 |
– 5 |
– 3 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
59 |
3 |
1 |
– 1 |
– 3 |
– 5 |
– 5 |
2 |
– 5 |
– 1 |
2 |
1 |
– 4 |
– 1 |
– 4 |
– 2 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60 |
– 3 |
– 5 |
– 3 |
1 |
– 3 |
4 |
– 5 |
1 |
– 4 |
– 2 |
1 |
– 5 |
4 |
– 3 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
61 |
– 4 |
2 |
2 |
– 4 |
– 3 |
2 |
4 |
2 |
– 5 |
4 |
– 1 |
2 |
4 |
– 1 |
1 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
62 |
1 |
– 5 |
1 |
– 1 |
– 1 |
2 |
1 |
– 5 |
– 4 |
– 2 |
4 |
– 5 |
– 5 |
– 2 |
4 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
63 |
– 5 |
2 |
3 |
2 |
2 |
– 5 |
1 |
5 |
– 5 |
– 3 |
5 |
1 |
– 2 |
– 5 |
– 2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
64 |
– 3 |
– 3 |
– 5 |
– 4 |
1 |
5 |
– 3 |
5 |
2 |
1 |
1 |
1 |
4 |
– 3 |
2 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
65 |
1 |
1 |
1 |
3 |
– 3 |
3 |
– 4 |
4 |
– 4 |
2 |
– 4 |
5 |
5 |
– 2 |
– 3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
66 |
– 4 |
– 3 |
– 2 |
– 4 |
4 |
4 |
2 |
1 |
– 5 |
4 |
4 |
1 |
– 1 |
4 |
– 1 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
67 |
– 2 |
2 |
– 5 |
1 |
– 3 |
– 2 |
3 |
– 2 |
2 |
1 |
5 |
– 4 |
– 5 |
– 4 |
3 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
68 |
4 |
1 |
– 4 |
– 2 |
– 3 |
2 |
– 2 |
4 |
2 |
– 1 |
– 3 |
2 |
1 |
5 |
5 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
69 |
– 1 |
– 3 |
1 |
– 2 |
– 3 |
4 |
– 1 |
5 |
– 2 |
– 1 |
– 2 |
5 |
– 4 |
– 5 |
1 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
70 |
– 4 |
5 |
– 2 |
5 |
5 |
5 |
2 |
4 |
– 5 |
1 |
– 4 |
2 |
– 4 |
– 2 |
3 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
71 |
2 |
– 5 |
– 1 |
5 |
– 2 |
1 |
– 4 |
4 |
– 1 |
– 5 |
5 |
5 |
2 |
– 4 |
– 4 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
72 |
– 5 |
1 |
3 |
4 |
2 |
– 1 |
4 |
– 3 |
1 |
5 |
1 |
– 3 |
– 2 |
4 |
– 4 |
– 3 |
|
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|
|
|
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|
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10
Закінчення табл. 1.1
Номер |
А11 |
А12 |
А13 |
А14 |
А21 |
А22 |
А23 |
А24 |
А31 |
А32 |
А33 |
А34 |
А41 |
А42 |
А43 |
А44 |
варіанта |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
73 |
– 3 |
5 |
– 3 |
5 |
5 |
– 4 |
– 3 |
1 |
1 |
– 5 |
– 5 |
4 |
2 |
– 2 |
5 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
74 |
5 |
3 |
3 |
– 5 |
5 |
2 |
– 5 |
5 |
– 4 |
1 |
– 2 |
– 2 |
4 |
1 |
– 3 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
75 |
3 |
4 |
– 3 |
2 |
3 |
– 2 |
1 |
– 1 |
1 |
– 5 |
– 4 |
4 |
5 |
4 |
– 2 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
76 |
5 |
5 |
– 5 |
2 |
5 |
– 4 |
3 |
1 |
– 5 |
1 |
2 |
5 |
5 |
3 |
– 2 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
77 |
4 |
4 |
1 |
2 |
2 |
– 4 |
– 2 |
4 |
2 |
5 |
3 |
– 2 |
5 |
– 5 |
5 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
78 |
– 5 |
1 |
– 4 |
2 |
– 4 |
– 4 |
– 1 |
5 |
– 1 |
4 |
– 5 |
4 |
2 |
– 5 |
– 5 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
79 |
– 2 |
5 |
– 2 |
1 |
2 |
2 |
– 1 |
2 |
– 5 |
5 |
2 |
5 |
– 5 |
1 |
3 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
80 |
2 |
2 |
– 5 |
2 |
1 |
2 |
– 2 |
3 |
5 |
– 3 |
2 |
3 |
– 5 |
– 4 |
1 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
81 |
– 4 |
1 |
5 |
1 |
3 |
– 2 |
– 3 |
– 3 |
2 |
4 |
1 |
2 |
2 |
– 1 |
– 1 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
82 |
– 1 |
2 |
– 3 |
– 3 |
– 1 |
3 |
– 2 |
3 |
– 2 |
1 |
– 2 |
1 |
1 |
– 2 |
4 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
83 |
1 |
1 |
5 |
5 |
– 3 |
– 2 |
– 4 |
– 5 |
5 |
– 4 |
– 4 |
4 |
– 1 |
3 |
– 3 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
84 |
– 2 |
4 |
1 |
– 5 |
1 |
4 |
– 4 |
– 2 |
1 |
– 5 |
4 |
– 1 |
1 |
– 2 |
– 1 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
85 |
– 2 |
– 3 |
– 5 |
1 |
– 2 |
3 |
– 2 |
5 |
– 3 |
2 |
3 |
2 |
– 3 |
– 4 |
– 4 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
86 |
– 2 |
– 1 |
3 |
– 2 |
– 4 |
– 4 |
– 4 |
– 3 |
– 2 |
3 |
3 |
1 |
3 |
1 |
– 1 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
87 |
2 |
3 |
– 3 |
– 5 |
– 3 |
1 |
– 3 |
1 |
– 2 |
– 1 |
4 |
– 4 |
– 3 |
– 1 |
5 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
88 |
– 5 |
5 |
3 |
– 1 |
1 |
0 |
3 |
2 |
1 |
– 2 |
5 |
– 1 |
– 3 |
– 4 |
3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
89 |
– 4 |
– 2 |
3 |
– 1 |
– 3 |
3 |
4 |
– 1 |
2 |
1 |
– 5 |
– 4 |
2 |
– 5 |
– 4 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
90 |
– 3 |
– 2 |
5 |
1 |
– 2 |
– 5 |
– 3 |
– 5 |
3 |
1 |
– 2 |
5 |
3 |
5 |
– 5 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
91 |
– 4 |
3 |
5 |
– 4 |
– 1 |
– 3 |
– 4 |
4 |
– 1 |
4 |
5 |
– 2 |
– 4 |
– 4 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
92 |
– 2 |
– 4 |
1 |
3 |
4 |
– 3 |
– 3 |
– 5 |
– 4 |
2 |
2 |
3 |
3 |
5 |
1 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
93 |
– 1 |
– 5 |
3 |
3 |
– 5 |
3 |
– 1 |
1 |
– 4 |
4 |
– 2 |
4 |
– 2 |
5 |
– 1 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
94 |
4 |
3 |
4 |
1 |
– 1 |
1 |
– 5 |
– 1 |
– 3 |
– 5 |
4 |
– 1 |
– 5 |
– 3 |
– 4 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
95 |
– 3 |
– 3 |
– 3 |
1 |
1 |
2 |
5 |
– 4 |
– 1 |
– 3 |
2 |
4 |
1 |
– 3 |
– 2 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
96 |
4 |
– 5 |
1 |
5 |
1 |
2 |
1 |
– 2 |
– 2 |
– 2 |
5 |
– 4 |
5 |
– 2 |
– 2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
97 |
3 |
4 |
1 |
1 |
– 5 |
1 |
– 1 |
– 3 |
2 |
3 |
5 |
4 |
– 5 |
4 |
2 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
98 |
– 3 |
4 |
4 |
3 |
2 |
2 |
– 5 |
4 |
5 |
– 1 |
1 |
1 |
– 1 |
– 5 |
– 1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
99 |
3 |
– 2 |
5 |
– 2 |
3 |
– 1 |
– 3 |
5 |
1 |
– 4 |
– 1 |
3 |
– 4 |
1 |
– 5 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
100 |
– 4 |
– 5 |
4 |
– 4 |
2 |
– 3 |
– 3 |
4 |
– 4 |
1 |
– 5 |
– 4 |
– 2 |
– 4 |
– 1 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11
Задача 1.2. Знайти матриці, обернені до матриці
|
A11 |
A12 |
A13 |
|
|||
A |
A21 |
A22 |
A23 |
|
A31 |
A32 |
A33 |
за даними табл. 1.2.
Таблиця 1.2
Номер |
А11 |
А12 |
А13 |
А21 |
А22 |
А23 |
А31 |
А32 |
А33 |
|
варіанта |
||||||||||
|
|
|
|
|
|
|
|
|
||
|
|
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|
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|
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|
|
|
1 |
– 3 |
4 |
– 4 |
– 2 |
– 4 |
1 |
4 |
3 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
2 |
– 4 |
– 4 |
– 5 |
1 |
2 |
– 2 |
2 |
– 5 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
5 |
4 |
5 |
1 |
1 |
– 3 |
– 1 |
2 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
4 |
3 |
1 |
– 2 |
– 2 |
3 |
5 |
– 2 |
– 2 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
5 |
– 4 |
– 3 |
3 |
1 |
– 3 |
1 |
3 |
– 3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
1 |
– 1 |
4 |
3 |
– 4 |
4 |
4 |
– 2 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
1 |
– 3 |
2 |
1 |
– 1 |
4 |
1 |
4 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
– 1 |
– 4 |
2 |
– 1 |
4 |
1 |
2 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
9 |
– 2 |
3 |
1 |
3 |
5 |
– 1 |
2 |
– 4 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
10 |
– 4 |
– 1 |
– 3 |
1 |
2 |
1 |
2 |
– 5 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
11 |
3 |
– 3 |
4 |
1 |
3 |
– 2 |
3 |
4 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
12 |
3 |
1 |
5 |
5 |
– 4 |
1 |
1 |
5 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
13 |
1 |
1 |
– 1 |
4 |
– 4 |
– 4 |
– 3 |
5 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
14 |
– 5 |
3 |
1 |
– 3 |
– 1 |
3 |
– 2 |
1 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
15 |
1 |
– 5 |
– 1 |
2 |
– 5 |
– 4 |
– 1 |
– 3 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
16 |
1 |
– 5 |
5 |
– 4 |
– 5 |
– 4 |
– 2 |
– 3 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
17 |
– 3 |
1 |
3 |
2 |
– 2 |
5 |
– 5 |
1 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
18 |
– 5 |
1 |
4 |
1 |
1 |
5 |
– 2 |
– 5 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
19 |
4 |
– 2 |
– 5 |
4 |
– 1 |
– 2 |
3 |
1 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
20 |
2 |
1 |
5 |
3 |
– 1 |
1 |
3 |
– 5 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
21 |
1 |
4 |
3 |
1 |
– 1 |
4 |
– 1 |
– 3 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
22 |
1 |
1 |
– 4 |
1 |
2 |
3 |
– 5 |
5 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
12
Продовження табл. 1.2
Номер |
А11 |
А12 |
А13 |
А21 |
А22 |
А23 |
А31 |
А32 |
А33 |
|
варіанта |
||||||||||
|
|
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
23 |
2 |
– 1 |
– 5 |
– 2 |
– 2 |
5 |
1 |
– 5 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
24 |
2 |
3 |
3 |
– 1 |
2 |
– 3 |
2 |
1 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
25 |
– 3 |
– 2 |
2 |
1 |
– 5 |
– 4 |
– 3 |
2 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
26 |
1 |
4 |
– 3 |
3 |
3 |
– 1 |
1 |
– 5 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
27 |
1 |
2 |
– 4 |
– 4 |
– 3 |
– 3 |
3 |
– 2 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
28 |
1 |
– 3 |
– 1 |
4 |
4 |
– 5 |
– 1 |
– 5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
29 |
– 5 |
3 |
3 |
1 |
– 3 |
– 3 |
– 2 |
1 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
30 |
– 4 |
5 |
1 |
– 1 |
– 2 |
4 |
– 1 |
2 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
31 |
– 4 |
2 |
– 5 |
– 2 |
– 4 |
– 3 |
3 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
32 |
1 |
– 2 |
4 |
– 4 |
3 |
4 |
4 |
– 2 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
33 |
– 2 |
– 1 |
– 1 |
– 2 |
1 |
1 |
– 2 |
1 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
34 |
– 3 |
– 3 |
3 |
– 1 |
– 4 |
– 3 |
– 2 |
1 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
35 |
– 3 |
– 1 |
– 3 |
1 |
2 |
2 |
1 |
4 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
36 |
3 |
5 |
1 |
– 4 |
– 3 |
– 3 |
– 2 |
2 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
37 |
1 |
2 |
4 |
– 2 |
2 |
– 4 |
– 2 |
4 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
38 |
3 |
1 |
2 |
5 |
1 |
– 1 |
– 3 |
1 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
39 |
– 1 |
5 |
– 2 |
5 |
1 |
– 5 |
4 |
4 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
40 |
4 |
– 1 |
4 |
– 5 |
3 |
– 3 |
1 |
5 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
41 |
2 |
1 |
5 |
2 |
– 3 |
– 3 |
3 |
– 5 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
42 |
– 1 |
1 |
3 |
– 4 |
1 |
1 |
4 |
3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
43 |
3 |
1 |
1 |
3 |
2 |
– 2 |
5 |
– 2 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
44 |
1 |
1 |
– 5 |
1 |
4 |
– 1 |
1 |
– 3 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
45 |
2 |
– 3 |
– 5 |
5 |
1 |
2 |
3 |
1 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
46 |
5 |
4 |
– 2 |
– 3 |
– 2 |
4 |
5 |
1 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
47 |
1 |
2 |
1 |
1 |
– 3 |
– 5 |
– 5 |
5 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
48 |
1 |
4 |
– 4 |
1 |
3 |
4 |
– 1 |
– 3 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
49 |
3 |
5 |
4 |
4 |
1 |
– 5 |
3 |
– 4 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
50 |
– 5 |
– 1 |
– 4 |
1 |
– 4 |
4 |
– 4 |
– 5 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
13
Продовження табл. 1.2
Номер |
А11 |
А12 |
А13 |
А21 |
А22 |
А23 |
А31 |
А32 |
А33 |
|
варіанта |
||||||||||
|
|
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
51 |
1 |
4 |
– 5 |
5 |
1 |
– 5 |
– 5 |
– 3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
52 |
5 |
2 |
2 |
– 2 |
4 |
– 3 |
1 |
– 5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
53 |
1 |
– 3 |
3 |
– 4 |
5 |
5 |
3 |
1 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
54 |
– 1 |
2 |
– 2 |
4 |
– 4 |
1 |
5 |
1 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
55 |
3 |
1 |
1 |
5 |
– 2 |
3 |
3 |
2 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
56 |
4 |
5 |
4 |
1 |
5 |
– 2 |
4 |
3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
57 |
– 1 |
– 4 |
1 |
– 1 |
1 |
2 |
– 5 |
– 4 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
58 |
– 5 |
4 |
2 |
5 |
4 |
– 2 |
1 |
5 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
59 |
– 3 |
– 2 |
– 5 |
3 |
3 |
3 |
– 3 |
1 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
60 |
1 |
5 |
– 1 |
1 |
2 |
– 4 |
– 4 |
4 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
61 |
– 1 |
1 |
2 |
– 3 |
– 1 |
5 |
– 1 |
– 5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
62 |
5 |
– 2 |
– 5 |
4 |
1 |
2 |
1 |
2 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
63 |
1 |
4 |
1 |
1 |
– 4 |
– 1 |
4 |
1 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
64 |
– 4 |
5 |
1 |
1 |
– 3 |
– 1 |
– 1 |
– 2 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
65 |
– 1 |
– 5 |
5 |
– 3 |
3 |
4 |
– 3 |
1 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
66 |
1 |
1 |
4 |
– 2 |
– 1 |
– 3 |
– 4 |
– 2 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
67 |
1 |
– 2 |
2 |
5 |
– 3 |
– 2 |
– 2 |
– 4 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
68 |
– 5 |
– 2 |
– 2 |
2 |
5 |
3 |
– 2 |
4 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
69 |
1 |
4 |
5 |
2 |
2 |
4 |
– 1 |
2 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
70 |
1 |
4 |
– 3 |
5 |
5 |
– 3 |
1 |
3 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
71 |
– 5 |
– 2 |
– 4 |
– 3 |
– 4 |
1 |
2 |
5 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
72 |
3 |
– 2 |
1 |
– 5 |
– 4 |
– 5 |
2 |
– 1 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
73 |
– 5 |
4 |
1 |
– 5 |
– 5 |
3 |
5 |
5 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
74 |
1 |
– 3 |
3 |
– 2 |
1 |
4 |
– 5 |
2 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
75 |
– 4 |
1 |
– 2 |
– 1 |
3 |
– 5 |
– 1 |
– 3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
76 |
– 3 |
1 |
4 |
– 1 |
4 |
5 |
– 5 |
5 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
77 |
2 |
4 |
– 2 |
5 |
1 |
– 5 |
– 3 |
– 1 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
78 |
1 |
3 |
5 |
– 5 |
– 1 |
– 1 |
– 4 |
5 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
14
Закінчення табл. 1.2
Номер |
А11 |
А12 |
А13 |
А21 |
А22 |
А23 |
А31 |
А32 |
А33 |
|
варіанта |
||||||||||
|
|
|
|
|
|
|
|
|
||
|
|
|
|
|
|
|
|
|
|
|
79 |
2 |
2 |
2 |
– 2 |
3 |
– 4 |
1 |
5 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
80 |
1 |
1 |
– 3 |
– 2 |
3 |
5 |
4 |
– 4 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
81 |
– 3 |
5 |
5 |
– 1 |
1 |
3 |
4 |
– 5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
82 |
1 |
4 |
2 |
1 |
– 2 |
– 2 |
3 |
3 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
83 |
4 |
1 |
1 |
– 5 |
5 |
– 3 |
3 |
1 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
84 |
– 5 |
3 |
3 |
1 |
– 4 |
– 4 |
1 |
1 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
85 |
– 3 |
– 5 |
– 3 |
3 |
6 |
– 3 |
– 5 |
– 2 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
86 |
– 1 |
– 3 |
– 4 |
1 |
1 |
3 |
3 |
– 2 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
87 |
4 |
– 2 |
1 |
– 2 |
– 2 |
2 |
1 |
5 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
88 |
4 |
4 |
3 |
4 |
1 |
– 4 |
– 2 |
1 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
89 |
1 |
5 |
1 |
– 1 |
1 |
– 4 |
1 |
– 5 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
90 |
– 1 |
3 |
1 |
1 |
2 |
– 3 |
1 |
– 1 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
91 |
3 |
5 |
4 |
– 3 |
2 |
– 5 |
– 1 |
2 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
92 |
2 |
1 |
– 5 |
– 5 |
– 1 |
1 |
– 4 |
2 |
4 |
|
|
|
|
|
|
|
|
|
|
|
|
93 |
2 |
– 1 |
– 4 |
4 |
3 |
– 2 |
– 1 |
5 |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
94 |
– 4 |
4 |
4 |
– 2 |
1 |
3 |
– 1 |
4 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
95 |
3 |
– 4 |
– 4 |
2 |
1 |
4 |
– 4 |
– 4 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
96 |
– 2 |
2 |
– 4 |
– 3 |
5 |
1 |
– 2 |
1 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
97 |
– 5 |
4 |
4 |
– 5 |
1 |
– 3 |
1 |
3 |
– 5 |
|
|
|
|
|
|
|
|
|
|
|
|
98 |
– 4 |
1 |
1 |
5 |
– 3 |
2 |
3 |
– 3 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
99 |
– 4 |
– 3 |
3 |
3 |
2 |
1 |
– 5 |
– 5 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
100 |
– 5 |
– 5 |
1 |
– 5 |
– 1 |
– 4 |
2 |
2 |
1 |
|
|
|
|
|
|
|
|
|
|
|
Задача 1.3. Дослідити та розв’язати систему рівнянь
A11x1 A12 x2 A13 x3 A14 x4 B1
A21x1 A22 x2 A23 x3 A24 x4 B2
A31x1 A32 x2 A33 x3 A34 x4 B3
за даними табл. 1.3. Знайти загальний та базисний розв’язки.
15
Таблиця 1.3
Номер |
А11 |
А12 |
А13 |
А14 |
А21 |
А22 |
А23 |
А24 |
А31 |
А32 |
А33 |
А34 |
В1 |
В2 |
В3 |
варіанта |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
3 |
1 |
– 3 |
6 |
1 |
– 2 |
– 1 |
2 |
4 |
6 |
– 4 |
8 |
12 |
– 3 |
30 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
4 |
12 |
3 |
– 8 |
– 1 |
– 3 |
5 |
2 |
10 |
30 |
– 4 |
– 20 |
– 1 |
6 |
– 14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
1 |
– 1 |
– 1 |
– 2 |
2 |
– 2 |
– 2 |
2 |
9 |
– 9 |
– 9 |
0 |
1 |
8 |
27 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
– 2 |
2 |
– 2 |
4 |
5 |
– 2 |
5 |
– 10 |
– 12 |
6 |
– 12 |
24 |
– 10 |
16 |
– 42 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
– 3 |
3 |
3 |
3 |
– 2 |
2 |
– 4 |
2 |
10 |
– 10 |
2 |
– 10 |
– 15 |
– 4 |
38 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
2 |
– 2 |
– 2 |
3 |
– 1 |
1 |
1 |
2 |
– 4 |
4 |
4 |
1 |
6 |
11 |
16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
7 |
– 1 |
– 2 |
– 1 |
2 |
5 |
2 |
5 |
– 10 |
– 13 |
– 10 |
– 13 |
26 |
– 10 |
18 |
– 66 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
1 |
1 |
5 |
– 1 |
2 |
2 |
1 |
– 2 |
1 |
1 |
– 4 |
– 1 |
18 |
0 |
– 18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
1 |
1 |
– 2 |
– 3 |
5 |
5 |
– 10 |
2 |
– 8 |
– 8 |
16 |
– 10 |
0 |
17 |
– 34 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
– 2 |
– 4 |
4 |
4 |
– 3 |
– 1 |
6 |
6 |
2 |
– 6 |
– 4 |
– 4 |
– 8 |
– 7 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
– 3 |
– 6 |
2 |
– 9 |
– 1 |
– 2 |
– 3 |
– 3 |
5 |
10 |
4 |
15 |
15 |
– 6 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
1 |
– 1 |
3 |
– 3 |
5 |
– 5 |
15 |
– 4 |
– 11 |
11 |
– 33 |
11 |
– 7 |
– 13 |
33 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
13 |
– 4 |
– 1 |
4 |
4 |
3 |
– 2 |
– 3 |
– 3 |
2 |
– 5 |
– 2 |
– 2 |
5 |
– 12 |
– 19 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
5 |
5 |
– 1 |
15 |
1 |
1 |
– 4 |
3 |
13 |
13 |
5 |
39 |
19 |
0 |
57 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
– 4 |
– 4 |
– 12 |
– 1 |
1 |
1 |
3 |
5 |
– 9 |
– 9 |
– 27 |
– 7 |
– 10 |
12 |
– 32 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
1 |
4 |
– 1 |
1 |
1 |
1 |
– 1 |
1 |
– 2 |
– 5 |
2 |
– 2 |
0 |
3 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
17 |
– 3 |
– 9 |
1 |
3 |
– 2 |
– 6 |
1 |
2 |
– 2 |
– 6 |
0 |
2 |
– 5 |
– 3 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
18 |
4 |
– 8 |
8 |
– 2 |
5 |
– 10 |
10 |
– 4 |
2 |
– 4 |
4 |
– 4 |
– 8 |
– 7 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
19 |
1 |
1 |
2 |
3 |
– 2 |
3 |
– 4 |
– 6 |
6 |
– 4 |
12 |
18 |
– 1 |
12 |
– 26 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20 |
– 2 |
– 4 |
5 |
2 |
4 |
8 |
2 |
– 4 |
– 6 |
– 12 |
– 9 |
6 |
16 |
– 8 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
21 |
5 |
– 5 |
5 |
1 |
5 |
– 5 |
5 |
– 2 |
20 |
– 20 |
20 |
– 5 |
9 |
– 3 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
22 |
2 |
2 |
4 |
– 4 |
–- 4 |
3 |
– 8 |
8 |
– 8 |
– 1 |
– 16 |
16 |
4 |
13 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
23 |
3 |
6 |
4 |
6 |
– 1 |
– 2 |
5 |
– 2 |
7 |
14 |
22 |
14 |
0 |
– 19 |
– 38 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
24 |
2 |
2 |
– 4 |
– 4 |
– 3 |
– 3 |
6 |
– 3 |
– 8 |
– 8 |
16 |
– 2 |
– 8 |
– 15 |
– 22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25 |
– 2 |
– 2 |
– 6 |
– 2 |
4 |
2 |
12 |
4 |
– 10 |
– 8 |
– 30 |
– 10 |
0 |
2 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
26 |
– 2 |
– 4 |
– 3 |
– 6 |
– 1 |
– 2 |
– 4 |
– 3 |
0 |
0 |
– 5 |
0 |
– 13 |
– 14 |
– 15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
27 |
– 3 |
– 9 |
6 |
1 |
5 |
15 |
– 10 |
– 2 |
– 4 |
– 12 |
8 |
1 |
– 5 |
8 |
– 7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
28 |
– 2 |
4 |
2 |
– 2 |
– 4 |
3 |
4 |
– 4 |
– 8 |
1 |
8 |
– 8 |
– 10 |
– 10 |
– 10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
29 |
– 3 |
– 9 |
2 |
– 9 |
5 |
15 |
– 2 |
15 |
11 |
33 |
– 6 |
33 |
– 13 |
19 |
45 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16
Продовження табл. 1.3
Номер |
А11 |
А12 |
А13 |
А14 |
А21 |
А22 |
А23 |
А24 |
А31 |
А32 |
А33 |
А34 |
В1 |
В2 |
В3 |
варіанта |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
30 |
– 3 |
– 6 |
– 9 |
5 |
– 4 |
– 8 |
– 12 |
– 2 |
14 |
28 |
42 |
– 6 |
– 9 |
14 |
– 10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
31 |
– 1 |
– 3 |
– 1 |
– 2 |
5 |
4 |
5 |
10 |
8 |
2 |
8 |
16 |
10 |
– 17 |
– 14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
32 |
3 |
3 |
– 1 |
– 3 |
1 |
1 |
4 |
– 1 |
– 5 |
– 5 |
6 |
5 |
– 4 |
3 |
11 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
33 |
– 2 |
– 6 |
– 4 |
5 |
5 |
15 |
10 |
5 |
– 14 |
– 42 |
– 28 |
0 |
– 8 |
– 15 |
14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
34 |
– 1 |
2 |
1 |
– 1 |
– 3 |
– 3 |
3 |
– 3 |
– 6 |
3 |
6 |
– 6 |
7 |
– 6 |
15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
35 |
1 |
3 |
– 2 |
– 1 |
1 |
3 |
3 |
– 1 |
2 |
6 |
11 |
– 2 |
6 |
1 |
– 3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
36 |
3 |
3 |
6 |
1 |
2 |
2 |
4 |
– 2 |
15 |
15 |
30 |
– 3 |
– 8 |
– 8 |
– 48 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
37 |
1 |
1 |
– 1 |
– 1 |
2 |
– 4 |
– 2 |
– 2 |
5 |
– 7 |
– 5 |
– 5 |
– 1 |
– 8 |
– 17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
38 |
– 4 |
– 4 |
– 4 |
– 4 |
– 1 |
– 1 |
2 |
– 1 |
– 6 |
– 6 |
– 12 |
– 6 |
– 28 |
2 |
– 60 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
39 |
– 4 |
– 8 |
– 8 |
– 2 |
3 |
6 |
6 |
5 |
5 |
10 |
10 |
13 |
– 8 |
– 1 |
– 11 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
40 |
5 |
2 |
15 |
– 10 |
– 4 |
2 |
– 12 |
8 |
– 3 |
6 |
– 9 |
6 |
– 17 |
10 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
41 |
– 4 |
– 4 |
– 4 |
– 8 |
1 |
1 |
– 1 |
2 |
– 7 |
– 7 |
– 9 |
– 14 |
8 |
– 4 |
12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
42 |
2 |
4 |
4 |
4 |
3 |
6 |
6 |
3 |
7 |
14 |
14 |
5 |
– 6 |
0 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
43 |
4 |
– 2 |
–12 |
– 4 |
– 3 |
– 2 |
– 9 |
3 |
2 |
– 8 |
6 |
– 2 |
4 |
– 10 |
– 12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
44 |
– 1 |
1 |
4 |
– 1 |
3 |
– 3 |
4 |
3 |
– 4 |
4 |
– 16 |
– 4 |
7 |
11 |
– 36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
45 |
2 |
6 |
4 |
4 |
2 |
6 |
4 |
– 3 |
8 |
24 |
16 |
– 5 |
– 8 |
13 |
31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
46 |
– 1 |
– 3 |
– 2 |
– 2 |
3 |
– 1 |
6 |
6 |
11 |
3 |
22 |
22 |
5 |
– 5 |
– 25 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
47 |
– 2 |
2 |
2 |
– 4 |
– 1 |
1 |
4 |
– 2 |
0 |
0 |
– 6 |
0 |
– 4 |
– 11 |
18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
48 |
– 1 |
– 1 |
– 3 |
– 3 |
– 1 |
– 1 |
– 3 |
3 |
– 2 |
– 2 |
– 6 |
12 |
– 4 |
2 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
49 |
– 1 |
2 |
– 2 |
– 2 |
1 |
3 |
2 |
2 |
0 |
5 |
0 |
0 |
3 |
2 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
50 |
– 2 |
– 2 |
– 1 |
4 |
5 |
5 |
1 |
– 10 |
9 |
9 |
3 |
– 18 |
– 2 |
8 |
12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
51 |
3 |
– 6 |
9 |
– 1 |
3 |
– 6 |
9 |
– 2 |
3 |
– 6 |
9 |
0 |
3 |
0 |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
52 |
4 |
4 |
8 |
4 |
– 1 |
– 2 |
– 2 |
– 1 |
9 |
10 |
18 |
9 |
– 4 |
4 |
– 12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
53 |
– 4 |
– 4 |
– 2 |
4 |
5 |
5 |
– 1 |
– 5 |
14 |
14 |
0 |
– 14 |
6 |
– 11 |
– 28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
54 |
1 |
– 2 |
– 1 |
2 |
– 4 |
8 |
4 |
– 4 |
– 1 |
2 |
1 |
2 |
5 |
– 8 |
7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
55 |
– 1 |
– 4 |
– 1 |
– 3 |
– 2 |
– 3 |
– 2 |
– 6 |
0 |
5 |
0 |
0 |
– 14 |
– 8 |
20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
56 |
2 |
– 4 |
2 |
4 |
2 |
– 4 |
4 |
4 |
2 |
– 4 |
6 |
4 |
10 |
16 |
22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
57 |
4 |
12 |
4 |
– 2 |
5 |
15 |
5 |
5 |
19 |
57 |
19 |
13 |
– 12 |
0 |
– 12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
17
Продовження табл. 1.3
Номер |
А11 |
А12 |
А13 |
А14 |
А21 |
А22 |
А23 |
А24 |
А31 |
А32 |
А33 |
А34 |
В1 |
В2 |
В3 |
варіанта |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
58 |
– 1 |
– 4 |
1 |
– 3 |
1 |
– 4 |
– 1 |
3 |
– 3 |
4 |
3 |
– 9 |
– 6 |
– 2 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
59 |
3 |
– 3 |
– 1 |
– 3 |
5 |
– 5 |
– 2 |
– 5 |
8 |
– 8 |
– 3 |
– 8 |
7 |
12 |
19 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
60 |
5 |
10 |
5 |
5 |
– 2 |
– 4 |
– 2 |
4 |
1 |
2 |
1 |
13 |
10 |
– 16 |
– 22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
61 |
– 3 |
2 |
6 |
– 3 |
3 |
3 |
– 6 |
3 |
12 |
7 |
– 24 |
12 |
5 |
– 15 |
– 50 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
62 |
2 |
– 2 |
– 2 |
– 2 |
– 4 |
4 |
5 |
4 |
– 8 |
8 |
9 |
8 |
– 4 |
9 |
17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
63 |
– 1 |
2 |
2 |
1 |
4 |
– 8 |
– 8 |
1 |
– 7 |
14 |
14 |
– 3 |
5 |
– 5 |
5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
64 |
– 4 |
2 |
– 8 |
– 12 |
4 |
1 |
8 |
12 |
0 |
– 3 |
0 |
0 |
16 |
– 10 |
– 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
65 |
2 |
– 4 |
– 1 |
2 |
– 2 |
4 |
4 |
– 2 |
2 |
– 4 |
– 7 |
2 |
7 |
– 16 |
25 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
66 |
3 |
9 |
– 3 |
5 |
– 2 |
– 6 |
2 |
– 2 |
7 |
21 |
– 7 |
9 |
17 |
– 10 |
37 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
67 |
4 |
– 4 |
– 4 |
12 |
3 |
3 |
– 3 |
9 |
10 |
2 |
– 10 |
30 |
– 12 |
– 3 |
– 18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
68 |
– 4 |
– 4 |
– 3 |
– 12 |
– 3 |
– 3 |
– 4 |
– 9 |
– 6 |
– 6 |
– 1 |
– 18 |
– 8 |
– 13 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
69 |
– 3 |
– 9 |
3 |
5 |
4 |
12 |
– 4 |
4 |
– 17 |
– 51 |
17 |
7 |
14 |
24 |
– 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
70 |
5 |
1 |
10 |
5 |
5 |
3 |
10 |
5 |
0 |
– 2 |
0 |
0 |
– 16 |
– 18 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
71 |
– 3 |
– 6 |
5 |
– 6 |
– 2 |
– 4 |
– 4 |
– 4 |
– 7 |
– 14 |
19 |
– 14 |
6 |
– 18 |
36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
72 |
5 |
5 |
10 |
5 |
1 |
1 |
2 |
4 |
11 |
11 |
22 |
14 |
10 |
– 4 |
16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
73 |
5 |
4 |
10 |
5 |
3 |
3 |
6 |
3 |
18 |
15 |
36 |
18 |
11 |
9 |
42 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
74 |
5 |
15 |
3 |
5 |
– 1 |
– 3 |
– 4 |
– 1 |
17 |
51 |
17 |
17 |
24 |
– 15 |
102 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
75 |
4 |
12 |
12 |
– 2 |
– 2 |
– 6 |
– 6 |
– 4 |
– 2 |
– 6 |
– 6 |
6 |
6 |
2 |
– 8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
76 |
– 3 |
2 |
6 |
3 |
1 |
4 |
– 2 |
– 1 |
6 |
10 |
– 12 |
– 6 |
9 |
11 |
24 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
77 |
– 1 |
– 1 |
3 |
– 1 |
4 |
4 |
2 |
4 |
– 6 |
– 6 |
– 10 |
– 6 |
12 |
– 6 |
– 12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
78 |
– 1 |
1 |
2 |
4 |
– 4 |
4 |
8 |
4 |
2 |
– 2 |
– 4 |
4 |
– 5 |
4 |
– 14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
79 |
2 |
2 |
– 4 |
6 |
– 3 |
5 |
6 |
– 9 |
– 10 |
6 |
20 |
– 30 |
0 |
8 |
16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
80 |
– 2 |
4 |
– 2 |
– 4 |
– 1 |
2 |
3 |
– 2 |
3 |
– 6 |
7 |
6 |
– 4 |
– 6 |
2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
81 |
1 |
– 2 |
3 |
2 |
– 1 |
2 |
– 3 |
2 |
– 1 |
2 |
– 3 |
10 |
– 8 |
– 4 |
– 28 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
82 |
5 |
– 4 |
15 |
15 |
3 |
– 4 |
9 |
9 |
4 |
– 8 |
12 |
12 |
18 |
14 |
24 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
83 |
2 |
– 2 |
4 |
– 4 |
– 3 |
3 |
– 3 |
6 |
– 2 |
2 |
2 |
4 |
0 |
– 6 |
– 12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
84 |
– 4 |
8 |
– 4 |
4 |
4 |
– 8 |
4 |
– 2 |
0 |
0 |
0 |
– 2 |
12 |
– 4 |
– 8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
85 |
2 |
– 2 |
– 4 |
6 |
– 1 |
– 4 |
2 |
– 3 |
– 1 |
6 |
2 |
– 3 |
2 |
– 11 |
9 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
86 |
– 4 |
– 12 |
3 |
– 8 |
4 |
12 |
– 1 |
8 |
– 8 |
– 24 |
8 |
– 16 |
– 2 |
– 2 |
– 8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
18
Закінчення табл. 1.3
Номер |
А11 |
А12 |
А13 |
А14 |
А21 |
А22 |
А23 |
А24 |
А31 |
А32 |
А33 |
А34 |
В1 |
В2 |
В3 |
варіанта |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
87 |
3 |
– 3 |
– 3 |
2 |
– 1 |
1 |
1 |
5 |
8 |
– 8 |
– 8 |
11 |
6 |
– 19 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
88 |
4 |
3 |
8 |
– 8 |
– 1 |
1 |
– 2 |
2 |
– 11 |
– 3 |
– 22 |
22 |
– 5 |
– 4 |
– 2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
89 |
5 |
– 10 |
– 4 |
15 |
2 |
– 4 |
5 |
6 |
– 9 |
18 |
– 6 |
– 27 |
7 |
16 |
– 39 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
90 |
5 |
15 |
– 5 |
2 |
– 4 |
– 12 |
4 |
– 4 |
– 2 |
– 6 |
2 |
– 8 |
– 12 |
12 |
12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
91 |
– 2 |
– 1 |
– 2 |
2 |
4 |
4 |
4 |
– 4 |
6 |
5 |
6 |
– 6 |
5 |
– 16 |
– 21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
92 |
– 1 |
1 |
2 |
2 |
3 |
– 3 |
3 |
– 6 |
4 |
– 4 |
1 |
– 8 |
10 |
6 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
93 |
5 |
10 |
– 10 |
– 2 |
– 2 |
– 4 |
4 |
3 |
11 |
22 |
– 22 |
0 |
– 13 |
3 |
– 33 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
94 |
1 |
– 2 |
3 |
– 2 |
– 4 |
– 2 |
– 12 |
8 |
– 13 |
– 4 |
– 39 |
26 |
– 7 |
8 |
31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
95 |
– 4 |
– 8 |
1 |
8 |
4 |
8 |
4 |
– 8 |
16 |
32 |
6 |
– 32 |
– 1 |
16 |
34 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
96 |
2 |
– 2 |
2 |
3 |
5 |
– 5 |
5 |
4 |
– 8 |
8 |
– 8 |
– 5 |
12 |
23 |
– 34 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
97 |
1 |
1 |
– 1 |
– 2 |
4 |
5 |
– 4 |
– 8 |
11 |
13 |
– 11 |
– 22 |
2 |
7 |
20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
98 |
1 |
3 |
3 |
– 1 |
– 1 |
– 3 |
– 2 |
1 |
– 2 |
– 6 |
– 5 |
2 |
– 8 |
6 |
14 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
99 |
5 |
– 5 |
10 |
– 1 |
– 2 |
2 |
– 4 |
2 |
– 9 |
9 |
– 18 |
5 |
– 19 |
14 |
47 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
100 |
5 |
– 1 |
– 5 |
15 |
– 1 |
3 |
1 |
– 3 |
– 8 |
10 |
8 |
– 24 |
– 8 |
– 4 |
– 4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Задача 1.4. Розв’язати системи рівнянь
A11x1 A12 x2 A13 x3 B1
A21x1 A22 x2 A23 x3 B2
A31x1 A32 x3 A33 x3 B3
за даними табл. 1.4.
Таблиця 1.4
Номер |
А11 |
А12 |
А13 |
А21 |
А22 |
А23 |
А31 |
А32 |
А33 |
В1 |
В2 |
В3 |
варіанта |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
– 3 |
– 2 |
4 |
4 |
– 4 |
3 |
– 4 |
1 |
– 1 |
– 25 |
– 20 |
3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
– 3 |
4 |
– 2 |
5 |
– 3 |
– 5 |
4 |
– 2 |
1 |
22 |
– 8 |
– 21 |
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
4 |
1 |
2 |
1 |
– 3 |
1 |
4 |
3 |
– 2 |
– 19 |
– 10 |
– 1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
5 |
4 |
2 |
– 4 |
– 3 |
1 |
– 5 |
– 1 |
– 5 |
9 |
– 7 |
– 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
3 |
1 |
5 |
2 |
1 |
3 |
4 |
– 1 |
– 4 |
– 6 |
– 3 |
– 15 |
|
|
|
|
|
|
|
|
|
|
|
|
|
6 |
– 3 |
– 1 |
1 |
1 |
1 |
– 4 |
– 5 |
1 |
– 3 |
– 13 |
4 |
– 13 |
|
|
|
|
|
|
|
|
|
|
|
|
|
19