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Векторы , , , , , векторного пространства R3 заданы координатами в некотором базисе { , , }. Линейные операторы и f имеют матрицы А и В соответственно в базисах { , , } и { , , }. Найдите матрицы линейных операторов + f, . f в базисе { , , }, если:
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29.01.
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= (2; 2; 2),
= (3; 4; 3),
= (5; 5; 6),
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= (1; 3; 2),
= (9; 27; 16),
= (7; 22; 14);
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29.02.
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= (1; 2; 1),
= (–1; –3; –3),
= (–4; –6; 1),
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= (1; 0; –3),
= (–1; 2; 3),
= (2; 4; –5);
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29.03.
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= (2; 2; 2),
= (2; 4; 6),
= (–6;–10;–12),
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= (2; –2; 4),
= (–2; 4; 2),
= (4;–2; 16);
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29.04.
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= (–4; 3; 5),
= (3; –2; –3),
= (–1; 1; 1),
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= (–2; 3; 3),
= (1; –1; –1),
= (–1; 0; 1);
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29.05.
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= (1; 1; 1),
= (1; 2; 3),
= (–3; –5; –6),
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= (1; –1; 2),
= (–1; 2; 1),
= (2; 1; 8);
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29.06.
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= (1; 0; 1),
= (2; –1; 2),
= (0; 2; –2),
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= (1; –2; 0),
= (1; 1; 1),
= (–2; 3; 1);
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29.07.
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= (–1; 1; 0),
= (1; –1; 2),
= (1; 1; 1),
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= (2; 2; 3),
= (1; –1; 2),
= (3; 0; 1);
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29.08.
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= (1; 2; 1),
= (2; 3; 3),
= (–1; 2; –6),
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= (2; 3; –1),
= (1; 2; 2),
= (1; 1; –3);
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29.09.
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= (–1; 0; 1),
= (0; 1; 1),
= (1; 1; 1),
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= (–2; 1; 2),
= (1; 2; 2),
= (2; –3; 4);
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29.10.
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= (1; 2; 0),
= (0; –1; 2),
= (2; 4; 1),
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= (1; –1; 0),
= (1; 0; 2),
= (–2; 1;–1);
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29.11.
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= (1; 0; 1),
= (1; 2; 1),
= (1; 1; 1),
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= (0; 0; 1),
= (1; 2; 2),
= (1; 0; 2);
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29.12.
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= (1; 0; –1),
= (1; 1; –2),
= (1; –1; –1),
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= (1; –1; 1),
= (1; 2; 0),
= (0; –2; 1);
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29.13.
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= (1; 1; 1),
= (1; 2; 1),
= (2; 1; 3),
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= (1; 2; –1),
= (–1; –1; 1),
= (1; 3; 0);
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29.14.
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= (1; 1; 1),
= (2; 0; 2),
= (0; 1; 1),
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= (1; 1; 0),
= (1; 3; 1),
= (0; 1; 3);
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29.15.
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= (1; 1; 2),
= (1; 1; 1),
= (–1; 1; 0),
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= (1; 1; –2),
= (3; 0; 1),
= (2; 2; 3);
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29.16.
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= (1; 0; 0),
= (1; 1; 0 ),
= (1; 0; –1),
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= (1; 1; 2),
= (2; 1; 0),
= (2; 2; 3);
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29.17.
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= (0; 1; –1),
= (2; 1; 1),
= (–1; –1; 0),
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= (–1; –2; 3),
= (0; –1; 2),
= (1; 1; –4);
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29.18.
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= (2; 1; 1),
= (1; 0; 0 ),
= (–1; –1; –1),
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= (2; 0; –1),
= (0; 0; 1),
= (–1; 1;–1);
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29.19.
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= (1; –1; 0),
= (1; 0; –1),
= (2; –1; 1),
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= (1; –3; –1),
= (2; 5; –1),
= (0; 1;–1);
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29.20.
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= (–1; 1; 1),
= (0; 0; –1),
= (2; –1; –1),
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= (2; 1; –1),
= (0; –2; 0),
= (1; –1; 1);
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29.21.
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= (2; –1; 3),
= (0; 0; –1),
= (1; –2; –5),
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= (3; 0; –1),
= (1; –1; –2),
= (0; 1; –1);
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29.22.
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= (–1; 1; 1),
= (0; 1; 1),
= (1; –2; –1),
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= (2; –3; 3),
= (–1; 0; –2),
= (0; –3; 1);
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29.23.
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= (–1; 1; –1),
= (0; 0; –1),
= (2; –1; 1),
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= (3; –2; –1),
= (1; –5; –2),
= (0; 1; –1);
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29.24.
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= (2; 1; –1),
= (0; 1; 0),
= (–2; 1; –1),
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= (3; –1; 1),
= (1; 1; 1),
= (0; –4;–2);
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29.25.
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= (2; –3; –1),
= (1; 1; 1),
= (0; 5; 2),
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= (–1; 1; 0),
= (–1; 1; 0),
= (1; –1; 1);
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29.26.
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= (0; 1; 2),
= (1; 1; –1),
= (2; 1; 3),
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= (1; –1; 3),
= (0; –2; 1),
= (2; 2; 5);
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29.27.
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= (–1; 2; 1),
= (1; –1; 1),
= (0; 1; 3),
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= (–1; 2; 2),
= (2; –3; –5),
= (1; 0; 0);
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29.28.
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= (–1; 0; 1),
= (1; 1; 0),
= (2; 1; –1),
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= (2; –3; 0),
= (1; 2; –1),
= (0; 1; 1);
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29.29.
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= (1; –1; 2),
= (0; 1; –2),
= (2; –3; 3),
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= (0; 2; 0),
= (1; 1; –1),
= (2; 1; –1);
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29.30.
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= (2; –1; 1),
= (1; 1; –1),
= (0; 2; 1),
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= (–1; 0; –2),
= (0; 1; 1),
= (2; 1; 0);
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29.31.
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= (–1; 0; 2),
= (0; 1; –1),
= (2; 1; –3),
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= (1; 0; 1),
= (2; –1; 2),
= (–1; 1; 1);
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29.32.
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= (1; 4; 0),
= (–1; –3; –1),
= (2; 7; 1),
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= (2; 1; –1),
= (0; –1; 1),
= (1; 1; –1);
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29.33.
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= (0; –1; –1),
= (1; 2; 1),
= (3; 5; 2),
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= (2; –1; 3),
= (0; 1; 1),
= (1; –1; 1);
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29.34.
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= (2; 3; 0),
= (1; 2; 1),
= (0; 1; 2),
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= (1; 1; –1),
= (1; 2; 1),
= (0; 1; 2);
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29.35.
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= (1; 0; –2),
= (–2; 1; 0),
= (0; –1; –2),
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= (2; 0; –4),
= (2; –1; 0),
= (–6; 1;–4);
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29.36
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= (1; –2; –1),
= (1; 0; 0),
= (1; 1; 2),
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= (–2; 1; 3),
= (–4; –3; 6),
= (–2;–2; 4);
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