Задание №8
Доказать, что векторы а, b, c образуют базис (линейно независимы), и найти разложение вектора х по этому базису.
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1.
x = (2, 4, 7),
a = (0, 1, 2),
b = (1, 0, 1),
c = (1, 2, 4).
2.
x = (6, 12,1),
a = (1, 3, 0),
b = (2, 1, 1),
c = (0, 1, 2).
3.
x = (1, 4, 4),
a = (2, 1, 1),
b = (0, 3, 2),
c = (1, 1, 1).
4.
x = (9, 5, 5),
a = (4, 1, 1),
b = (2, 0, 3),
c = (1, 2, 1).
5.
x = (5,5, 5),
a = (2, 0, 1),
b = (1, 3, 1),
c = (0, 4, 1).
6.
x =(19,1, 7),
a = (0, 1, 1),
b = (2, 0, 1),
c = (3, 1, 0).
7.
x = (3, 3, 4),
a = (1, 0, 2),
b = (0, 1, 1),
c = (2, 1, 4).
8.
x = (1, 7,4),
a = (1, 2, 1),
b = (2, 0, 3),
c = (1, 1, 1).
9.
x = (3, 3, 1),
a = (3, 1, 0),
b = (1, 2, 1),
c = (1, 0, 2).
10.
x = (5, 15, 0),
a = (1, 0, 5),
b = (1, 3, 2),
c = (0, 1, 1).
11.
x = (2, 4, 7),
a = (0, 1, 2),
b = (1, 0, 1),
c = (1, 2, 4).
12.
x = (6, 12,1),
a = (1, 3, 0),
b = (2, 1, 1),
c = (0, 1, 2).
13.
x = (1, 4, 4),
a = (2, 1, 1),
b = (0, 3, 2),
c = (1, 1, 1).
14.
x = (9, 5, 5),
a = (4, 1, 1),
b = (2, 0, 3),
c = (1, 2, 1).
15.
x = (5,5, 5),
a = (2, 0, 1),
b = (1, 3, 1),
c = (0, 4, 1).
16.
x =(19,1, 7),
a = (0, 1, 1),
b = (2, 0, 1),
c = (3, 1, 0).
17.
x = (3, 3, 4),
a = (1, 0, 2),
b = (0, 1, 1),
c = (2, 1, 4).
18.
x = (1, 7,4),
a = (1, 2, 1),
b = (2, 0, 3),
c = (1, 1, 1).
19.
x = (3, 3, 1),
a = (3, 1, 0),
b = (1, 2, 1),
c = (1, 0, 2).
20.
x = (5, 15, 0),
a = (1, 0, 5),
b = (1, 3, 2),
c = (0, 1, 1).
21.
x = (2, 4, 7),
a = (0, 1, 2),
b = (1, 0, 1),
c = (1, 2, 4).
22.
x = (6, 12,1),
a = (1, 3, 0),
b = (2, 1, 1),
c = (0, 1, 2).
23.
x = (1, 4, 4),
a = (2, 1, 1),
b = (0, 3, 2),
c = (1, 1, 1).
24.
x = (9, 5, 5),
a = (4, 1, 1),
b = (2, 0, 3),
c = (1, 2, 1).
25.
x = (5,5, 5),
a = (2, 0, 1),
b = (1, 3, 1),
c = (0, 4, 1).
26.
x =(19,1, 7),
a = (0, 1, 1),
b = (2, 0, 1),
c = (3, 1, 0).
27.
x = (3, 3, 4),
a = (1, 0, 2),
b = (0, 1, 1),
c = (2, 1, 4).
28.
x = (1, 7,4),
a = (1, 2, 1),
b = (2, 0, 3),
c = (1, 1, 1).
29.
x = (3, 3, 1),
a = (3, 1, 0),
b = (1, 2, 1),
c = (1, 0, 2).
30.
x = (5, 15, 0),
a = (1, 0, 5),
b = (1, 3, 2),
c = (0, 1, 1).