:
2.16. . 2.17. . 2.18.
2.19. A = , B = . :
) 3 A + 2 B; ) A - B; ) 2 A + 4 B; ) X 3 A + 2 X = B.
2.20. : A l E, E , | A = . | |
2.21. AB BA: | A = , B = . | |
:
2.22. . . 2.23. . .
2.24. . . . 2.25. . .
2.26. . .
2
2.1. (2; 3). 2.2.2. (1; 3; 5). 2.4. . 2.5. . 2.6. .
2.7. (2; 1; 1), D= 36. 2.8. (3; 1; 1). 2.9. (1; 1; 2; 2).
2.11. . 2.12. . 2.13. . 2.14. . 2.15. .
2.16. ( 2; 1; 2). 2.17. ( 3; 3; 2). 2.18. (4; 0; 1).
2.19. X = . 2.20. .
2.21. AB = , BA . 2.22. .
2.23.. 2.24..2.25..2.26..
3.
: ; ; .
1. | 3.1, 3.2 | 3.7, 3.8 |
2. | 3.3, 3.4, 3.5 | 3.9, 3.10 |
3. | 3.6 | 3.11 |
3.1. AB, BA, AB - BA, det A, det B, det(AB), | A = , B = . |
3.2. , .
3.3. f (A) A: f (x) = 3 x 2 - 4, | A = . | ||||
3.4. , A P (x) = x 2 - 4 x +5. | A = | ||||
3.5. a b A P (x) = x 2 +a x +b. | A = | ||||
3.6. : | A = , B = . | ||||