Задачи по линейной алгебре и геометрии. Панов А.Н. - 29 стр.

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5.9.
3 0 0
0 2 1
0 0 2
, f
1
= (3, 7, 5), f
2
= (−2, −4, −2), f
3
= (1, 1, 0).
5.10.
−1 0 0
0 1 0
0 0 1
, f
1
= (3, 5, 6), f
2
= (2, 1, 0), f
3
= (−1, 0, 1).
5.11.
3 1 0
0 3 1
0 0 3
, f
1
= (−2, −4, −2), f
2
= (5, 11, 6), f
3
= (1, 0, 0).
5.12.
−1 1 0
0 −1 0
0 0 −1
, f
1
= (1, −3, −2), f
2
= (1, 0, 0), f
3
= (1, 0, 1).
5.13.
2 0 0
0 −1 1
0 0 −1
, f
1
= (1, 5, 13), f
2
= (4, 8, 4), f
3
= (1, 0, −1).
5.14.
2 1 0
0 2 1
0 0 2
,
f
1
= (3, 1, 1), f
2
= (0, −2, −1), f
3
= (1, 0, 0).
5.15.
1 1 0 0
0 1 1 0
0 0 1 0
0 0 0 1
, f
1
= (3, 1, 3, 1), f
2
= (0, −2, 0, −1), f
3
= (1, 0, 0, 0),
f
4
= (0, 0, 1, 0).
5.16.
2 1 0 0
0 2 0 0
0 0 2 1
0 0 0 2
, f
1
= (1, 1, 3, 4), f
2
= (1, 0, 0, 0), f
3
= (−1, −1, 0, −1),
f
4
= (0, 1, 0, 0).
5.17.
−1 1 0 0
0 −1 0 0
0 0 1 1
0 0 0 1
, f
1
= (4, 4, 0, 0), f
2
= (1, 0, 0, 0), f
3
= (2, 2, 2, 2),
f
4
= (1, 0, 1, 0).
29

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