2-mavzu: Teskari matrisa. Chiziqli tenglamalar sistemasini yechish usullari. Matritsa ranki va teskari matritsani topish

2-mavzu: Teskari matrisa. Chiziqli tenglamalar sistemasini yechish usullari.


Matritsa ranki va teskari matritsani topish


Namunaviy misollar yechish:








5-misol. matritsaga teskari matritsa topilsin.
Yechish. Bu holda = va
;  ; ;
; ; ;
; ; .
D emak, .




Mustaqil ishlash uchun topshiriqlar
1. Berilgan matritsalarni ko`paytiring:

1. 
   , 2) , .
   

2. Berilgan matritsaga teskari matritsani toping:
1) , 2) , 3).
3 . ni hisoblang.

19. ni toping.

2 0). , bo’lsa, ni hisoblang.
Chiziqli algebraik tenglamalar sistemasi yechish. Kramer va matritsa usullari.
Namunaviy misollar yechish:

2-misol. Berilgan tenglamalar sistemasini Kramer usulida yeching.
Yechish. ,

3-misol. Quyidagi tenglamalar sistemasini matritsa usulida yeching. Yechish. . x1 = 1,x2 = 1,x3 = -1 4-misol.

Mustaqil ishlash uchun topshiriqlar

Tenglamlar sistemalarini Kramer usulidan foydalanib yeching 1. 2. 3. 2. Matritsali tenglamani yeching.

Quyidagi tenglamalar sistemasini matritsa usulida yeching. 1. 2. 3. 4.

5. 6.

4. Quyidagi sistemalarni Kramer formulasi va matritsaviy usulda yeching.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.