1-Amaliy mashg‘ulot. Ikkinchi va uchinchi tartibli aniqlovchilar

4. 5. 6.


Aniqlоvchilarni uchburchak usulida hisоblang:
7. 8. 9.
10. 11. 12.
13. 14. 15.
16. 17. 18.


19. 20. 21.


22. 23. 24.


25. 26.


Tеnglamadan х ni tоping.
27. 28. 29.
Hisоblang.


30. 31.

32. 33.


Tеngsizlikni yеching.
34. 35.


Test.№1
1. 2-chi tartibli determinantlarni hisoblang:

а) b) c)

A) a)7; b)1; c) B)a)-7; b)2; c)
C)a)7; b) c)
2. 3- chi tartibli determinantlarni hisoblang:

а) б)

A) a)4a; b)10. B) a)-2a; b)20. C) a)-4a; b)-10.
3. Uchlari vа nuqtalarda bo’lgan uchburchak yuzini toping.
A) 4 B) 15 C) 6
4. sistemani yeching.A)x=0, y=2B)x=2,y=0 C)x=2, y=-2
5. Ushbu sistemani Kramer qoidasiga asoslanib yeching:
A) x=1,y=-1,z=2 B) x=-1, y=1,z=1 C) x=2,y=-1,z=-2
6. Ushbu sistemani Gauss usulida yeching:

1. 
   Sistema cheksiz ko`p yechimga ega; B) x=2,y=0,z=-1; C)x=1,y=1,z=-1
   

7. Hisoblang. ;A) -117 B) 120 C) -110
8. Tengsizlikni yeching.
A)x<1 B) x>-1 C) x<10


2-Amaliy mashg‘ulot. Matritsalar ustida amallar.
2.1-misol.

Kvadrat matritsa

ustun matritsalar va d=2 skalyar kattalik berilgan. Quyidagi amallarni bajarib, natijaviy S matritsani toping S=A^TxBx+dxC.

Y echish:

Natija:

2 .2-misol.

ustun va B=[2 4 1] qator matritsalar berilgan.

M₁=AxB, M₂=BxA matritsalarni hisoblang. Matritsalarni ko‘paytirishga doir M₁≠M₂ xossasini tekshiring.

Yechish:

Natija: M₁ va M₂ matritsalarning tartibi turlicha, ya’ni M₁≠M₂

2.3-misol. matritsaga teskari matritsani toping.

Yechish. Birinchi ustun bo‘yicha yoyib A matritsaninng determinantini xisoblaymiz. detA=1· =1≠0. Demak, A matritsaga teskarisi mavjud.
A matritsaning algebraik yig‘indilarini topamiz.


; ; ;


; ; ;


; ; ;

Natija.

2.4-misol. Quyida keltirilgan elektr sxemasidan matritsalarni keltirib chiqaring.

Boshlang‘ich ma’lumotlar:

; ; ; ; ; .

Shaxobcha qarshiliklari diagonal matritsasini;

Shaxobcha o‘tkazuvchaliklari diagonal matritsasini;
Tugun o‘tkazuvchaliklari matritsasini;
Kontur qarshiliklari matritsasini.