6-amaliy mashg‘ulot Mavzu

Yechish.

Misol. Agar bo‘lsa, matrissalarning AB va BA ko‘paytmalarini toping.

Yechish.



Misol. matrissa berilgan A^-1 teskari matrissani toping.

Yechish. A matrissaning determinanti D_A ni topamiz:

.

Bu determinant elementlarining algebraik to‘ldiruvchilarini topamiz:

Demak,

Topshiriqlar

1. Determinantlarni hisoblang:

2.

3. Uchlari A(2;3), B(4;-1) va C(6;5) nuqtalarda bo‘lgan uchburchakni yasang va yuzini hisoblang.

Determinantlarni hisoblang.

4., 5.

6. . 7. .

8. f(A) ni toping.

9. 10.

AB va BA larni hisoblang:

11. . 12. .

A^-1 taskari matrissani toping.

13. . 14. .

Tenglamalar sistemasini Gauss usuli bilan yeching.

15. . 16. .

Tenglamalar sistemasini matrissa usulda yeching.

17. . 18. .

Tenglamalar sistemasini Кramer usuli bilan yeching.

19. 20.

21. 22.

₂₃. 24.
Testlar

1. Berilgan tenglamalar sistemasining bosh determinantini toping:

A) -7 B) 6 C) 8 D) 12

2. Berilgan tenglamalar sistemasining bosh determinantini toping.

A) 0 B) 6 C) 8 D) 12

3.tenglamalarsistemasini yeching.

A) (2;3;-1) B) (1;1;1) C) (-2;-1;3) D) (-1;0;3)

Nazorat uchun savollar:

1. Chiziqli tenglamalar sistemasi yechimga ega bo‘lishi uchun qanday shartlar bajarilishi kerak?

2. Determinantlarni qanday hisoblash usullari mavjud. Tushuntirib bering.

3. Kramer usulini tushuntirib bering.

4. Matrissa deb nimaga aytiladi.

5. Matrissa ustida bajariladigan amallar.