ഊ | ഊ ഊ ഊ ഊ  | ഊ ഊ ഊ | ഊ  | ഊ ഊ ഊ | ഊ ഊ ഊ Методом ортогонализации постройте ортонормированный базис векторного подпространства L, порожденного векторами, заданными своими координатами в некотором ортонормированном базисе, если: ഊ | ഊ | ഊ ഊ ഊ | ഊ ഊ 24.01. ഊ ഊ | ഊ ഊ  = (1; 2; 1; 0),
ഊ  = (2; 3; 4; 1),
ഊ  = (1; 1; 3; 1),
ഊ  = (0; 2; 1; 3),
ഊ  = (1; 3; 1; 1);
ഊ | ഊ ഊ ഊ 24.02. ഊ ഊ | ഊ ഊ = (1; 2; 1; 0), ഊ = (1; 0; 1; 0), ഊ = (2; 1; 1; 2), ഊ = (2; 4; 2; 0), ഊ = (1; 2; 1; 2); ഊ | ഊ ഊ ഊ 24.03. ഊ ഊ | ഊ ഊ = (1; –2; 3; –1), ഊ = (4; –3; 5; –5), ഊ = (–1; 2; –3; 1), ഊ = (–3; –4; 5; 5), ഊ = (2; 1; 2; –4); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.04. ഊ ഊ | ഊ ഊ = (1; 1; 1; –1), ഊ = (–1; 1; 1; –2), ഊ = (1; 1; –1; 1), ഊ = (0; –2; –2; 1), ഊ = (–1;–1;–1; –1); ഊ | ഊ ഊ ഊ 24.05. ഊ ഊ | ഊ ഊ = (1; 0; 1; 1), ഊ = (2; 2; 3; 1), ഊ = (2; 0; 2; 2), ഊ = (–1; 0; –1; –1), ഊ = (1; 1; 1; 1); ഊ | ഊ ഊ ഊ 24.06. ഊ ഊ | ഊ ഊ = (3; 1; –2; 4), ഊ = (1; 3; 1; 2), ഊ = (1; 5; 0; 1), ഊ = (3; –5; 1; 7), ഊ = (7; –15; –11; 8); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.07. ഊ ഊ | ഊ ഊ = (1; 2; 4; –3), ഊ = (3; 5; 6; –4), ഊ = (4; 5; –2; 3), ഊ = (3; 8; 24; –19), ഊ = (4; 7; 10; –7); ഊ | ഊ ഊ ഊ 24.08. ഊ ഊ | ഊ ഊ = (1; 1; 1; 1), ഊ = (0; 1; –1; 2), ഊ = (1; 1; 2; 2), ഊ = (3; –5; 1; 7), ഊ = (2; 1; –1; –4); ഊ | ഊ ഊ ഊ 24.09. ഊ ഊ | ഊ ഊ = (1; 1; 1; 1), ഊ = (1; 1; 0; 1), ഊ = (2; 1; 3; 1), ഊ = (1; 4; –1; 2), ഊ = (3; 4; 2; 1); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.10. ഊ ഊ | ഊ ഊ = (1; 2; –2; 1), ഊ = (–1; 2; 0; –3), ഊ = (–2; 0; 1; 4), ഊ = (1; 0; 3; 4), ഊ = (1; 1; 1; 1); ഊ | ഊ ഊ ഊ 24.11. ഊ ഊ | ഊ ഊ = (1; 1; 0; 1), ഊ = (2; 3; 0; 1), ഊ = (–1; 2; 1; 2), ഊ = (0; 1; 3; 2), ഊ = (1; 4; –1; 2); ഊ | ഊ ഊ ഊ 24.12. ഊ ഊ | ഊ ഊ = (1; –1; 1; –1), ഊ = (–2; 2; –2; 2), ഊ = (1; 1; –1; 1), ഊ = (0; 1; 1; 0), ഊ = (–1; 2; 0; 1); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.13. ഊ ഊ | ഊ ഊ = (1; 1; 0; 1), ഊ = (1; 2; 1; 2), ഊ = (2; 2; 0; 1), ഊ = (1; 2; 3; 3), ഊ = (–1; 0; 1; 0); ഊ | ഊ ഊ ഊ 24.14. ഊ ഊ | ഊ ഊ = (2; 0; 0; –2), ഊ = (2; 1; 1; –3), ഊ = (4; 1; 1; –5), ഊ = (0; –1; 0; –4), ഊ = (0; 1; 1; –2); ഊ | ഊ ഊ ഊ 24.15. ഊ ഊ | ഊ ഊ = (1; 0; 2; –1), ഊ = (–1; 0; –2; 1), ഊ = (2; 1; 0; –1), ഊ = (3; 1; 2; –2), ഊ = (–2; –1; 0; 1); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.16. ഊ ഊ | ഊ ഊ = (1; 1; 1; 1), ഊ = (–1; 0; –1; 2), ഊ = (1; –2; 0; –1), ഊ = (–1;–1; –1;–1), ഊ = (2; 4; 0; –2); ഊ | ഊ ഊ ഊ 24.17. ഊ ഊ | ഊ ഊ = (1; 1; 0; 1), ഊ = (–1; –2; –1; –2), ഊ = (2; 2; 0; 1), ഊ = (–1; –2; –3; –3), ഊ = (1; 0; –1; 0); ഊ | ഊ ഊ ഊ 24.18. ഊ ഊ | ഊ ഊ = (1; –2; 0; 3), ഊ = (–1; –2; 2; –1), ഊ = (1; 0; 3; 4), ഊ = (2; 0; –1; –4), ഊ = (–1; –1; –1; –1); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.19. ഊ ഊ | ഊ ഊ = (0; 1; 1; –1), ഊ = (–4; –1; –1; 5), ഊ = (0; 1; 0; 4), ഊ = (–2; 0; 0; 2), ഊ = (–2; –1; –1; 3); ഊ | ഊ ഊ ഊ 24.20. ഊ ഊ | ഊ ഊ = (–1; –4; 1; –2), ഊ = (–3; –4; –2; –1), ഊ = (2; 1; 3; 1), ഊ = (1; 1; 1; 1), ഊ = (–1; –1; 0; –1); ഊ | ഊ ഊ ഊ 24.21. ഊ ഊ | ഊ ഊ = (1; 1; 1; 1), ഊ = (2; 1; 0; 1), ഊ = (1; 0; 0; 0), ഊ = (–1; –1; –1; –1), ഊ = (2; 1; 0; 2); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.22. ഊ ഊ | ഊ ഊ = (–1; –1; –1;–1), ഊ = (1; 0; 0; 0), ഊ = (2; 1; 0; 1), ഊ = (6; 3; 0; 6), ഊ = (1; 1; 1; 1); ഊ | ഊ ഊ ഊ 24.23. ഊ ഊ | ഊ ഊ = (1; 1; 0; –2), ഊ = (2; 1; –2; –3), ഊ = (4; 3; 1; –7), ഊ = (3; 2; –2; –5), ഊ = (7; 5; –1; –12); ഊ | ഊ ഊ ഊ 24.24. ഊ ഊ | ഊ ഊ = (1; 0; 1; –1), ഊ = (2; –1; 1; –1), ഊ = (6; 1; 5; –4), ഊ = (3; –1; 2; –2), ഊ = (9; 0; 7; –6); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.25. ഊ ഊ | ഊ ഊ = (1; –2; 0; 1), ഊ = (3; –5; 1; 2), ഊ = (–2; 3; –1; –2), ഊ = (4; –7; 1; 3), ഊ = (2; –4; 0; 1); ഊ | ഊ ഊ ഊ 24.26. ഊ ഊ | ഊ ഊ = (2; 1; 3; 1), ഊ = (1; 1; –1; 1), ഊ = (3; 2; 2; 2), ഊ = (–2; –1; 1; –1), ഊ = (1; 1; 3; 1); ഊ | ഊ ഊ ഊ 24.27. ഊ ഊ | ഊ ഊ = (1; 2; 3; 4), ഊ = (2; 3; 5; 7), ഊ = (1; 1; 2; 3), ഊ = (1; 3; 4; 5), ഊ = (–3; –3; –6; –6); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.28. ഊ ഊ | ഊ ഊ = (1; 3; 2; 4), ഊ = (2; 5; 3; 7), ഊ = (1; 2; 1; 3), ഊ = (1; 4; 3; 5), ഊ = (–1; –2; –1;–2); ഊ | ഊ ഊ ഊ 24.29. ഊ ഊ | ഊ ഊ = (1; 2; 0; –3), ഊ = (3; 5; 1; –8), ഊ = (2; 3; 1; –5), ഊ = (6; 10; 2; –16), ഊ = (1; 1; –1; –1); ഊ | ഊ ഊ ഊ 24.30. ഊ ഊ | ഊ ഊ = (1; 4; 2; 3), ഊ = (2; 7; 3; 5), ഊ = (1; 3; 1; 2), ഊ = (1; 5; 3; 4), ഊ = (1; 2; 1; 2); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.31. ഊ ഊ | ഊ ഊ = (1; –3; 2; 0), ഊ = (6; –16; 10; 2), ഊ = (2; –5; 3; 1), ഊ = (3; –8; 5; 1), ഊ = (1; –1; 1;–1); ഊ | ഊ ഊ ഊ 24.32. ഊ ഊ | ഊ ഊ = (1; 0; 2; –3), ഊ = (3; 1; 5; –8), ഊ = (2; 1; 3; –5), ഊ = (–6;–2;–10; 16), ഊ = (–1; 1; –1; 1); ഊ | ഊ ഊ ഊ 24.33. ഊ ഊ | ഊ ഊ = (–1; 3; 4; 1), ഊ = (2; –7; –7; –2), ഊ = (1; –4; –3; –1), ഊ = (–3; 8; 13; 3), ഊ = (0; –3; 3; 1); ഊ | ഊ ഊ ഊ | ഊ ഊ 24.34. ഊ ഊ | ഊ ഊ = (1; 0; –4; 2), ഊ = (2; 1; –7; 3), ഊ = (–3; 1; 13; –10), ഊ = (0; 2; 2; –5), ഊ = (1; 2; –2; 0); ഊ | ഊ ഊ ഊ 24.35. ഊ ഊ | ഊ ഊ = (1; 0; 0; 1), ഊ = (2; 1; 1; 2), ഊ = (3; 1; 1; 3), ഊ = (1; 2; 0; 1), ഊ = (0; 1; 1; 0); ഊ | ഊ ഊ ഊ 24.36. ഊ ഊ | ഊ ഊ = (1; 0; 0; 1), ഊ = (2; 1; 0; 2), ഊ = (–3; 1; 0; 3), ഊ = (3; 3; 1; 5), ഊ = (–7; 3; 1; –5); ഊ | ഊ ഊ ഊ ഊ ഊ  | ഊ | ഊ  | ഊ ഊ ഊ | ഊ | ഊ
ഊ 
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