1.18. A = , B = . :
) 3 A + 2 B; ) A - B; ) 2 A + 4 B; ) X 3 A + 2 X = B.
1.19. : A l E, E , | A = . | |
1.20. AB BA: | A = , B = . | |
:
1.21. . . 1 .22. . .
1.23. . . . 1 .24. . .
1.25. . .
1.26. AB, BA, AB - BA, | A = , B = . | ||
1.27. AB, BA, AB - BA, | A = , B = . | ||
1.28. , .
1.29. , A 3 = E, A = .
f (A), f (x): 1.30. f (x) = 2 x 3- 3 x 2 + 5, A = . 1.31. f (x) = x 3- 6 x 2 + 9 x + 4, A = . | ||
1.32. , k M 2 - 8 M = kE, E - ; M = . | ||
) AA T ) A T A: 1.33. A = . 1.34. A = (1 2 3 4). 1.35. A = . |
1
1.2. AB - BA = . 1.3. . 1.4. . 1.5. .
1.7. - 4; 5. 1.10. AB - BA = . 1.11. . 1.12. .
1.13. . 1.14. . 1.15. . 1.16. .
1.18. X = . 1.19. .
1.20. AB = , BA . 1.21. .
1.22.. 1.23..1.24..1.25..
1.28. , a b - . 1.30. . 1.31. .
1.33. ) , ) . 1.34. ) (30); ) .
1.35. ) , ) .
2. .
: () ; ; ; .
1. | 2.1, 2.2 | 2.7, 2.8, 2.9 | ||
2. | 2.3 | 2.10 | ||
3. | 2.4, 2.5, 2.6 | 2.11, 2.12, 2.13, 2. 14, 2.15 | ||
:
2.1. . | 2.2. . | ||||
2.3. : ) A +2 B, ) A - B, ) 2 A +4 B, A = ; B = . : | |||||
2.4. . | 2.5. . | 2.6. . | |||
2
: | ||
2.7. . | 2.8. . | 2.9. . |
2.10. : ) 3 A +2 B, ) 3 A -2 B, A = ; B = . |
:
2.11. . | 2.12. . | |||
2.13. . | 2.14. . | 2.15. . | ||