3.7. AB, BA, AB - BA, det A, det B, det(AB), | A = , B = . |
3.8. , A 3 = E, A = .
3.9. f (A) A: f (x) = x 2 - 3 x + 1, | A = . | ||||
3.10. f (A), f (x) = 2 x 3- 3 x 2 + 5, | A = . | ||||
3.11. (AB)T = B T A T : | A = , B = . | ||||
3
f (A), f (x): 3.29. f (x) = 2 x 3- 3 x 2 + 5, A = . 3.39. f (x) = x 3- 6 x 2 + 9 x + 4, A = . | ||
3.14. , k M 2 - 8 M = kE, E - ; M = . | ||
) AA T ) A T A: 3.15. A = . 3.16. A = (1 2 3 4). 3.17. A = . | ||
3
3.2. , a b - . 3.3. . 3.5. - 4; 5. 3.9. .
3.10. . 3.29. . 3.13. .
3.15. ) , ) . 3.16. ) (30); ) .
3.17. ) , ) .
2.
: ; ; , ; ; ; ; .
1. | 2.1, 2.2 | 2.11, 2.12 | |
2. | 2.3 | 2.13 | |
3. | 2.4 - 2.6 | 2.14 - 2.16 | |
4. | 2.7 - 2.9 | 2.17 - 2.19 | 2.22 - 2.27 |
5. | 2.10 | 2.20, 2.21 | 2.28 - 2.32 |
2.1. : . | 2.2.: . | 2.3. : |
:
2.4. . | 2.5. . | 2.6. . |
:
2.7. . | 2.8. . | 2.9. . |
2.10. : = 0.