Chiziqli tenglamalar sisitemacini yechish

Maple7 dasturida masalani echish.
> with(Student[LinearAlgebra]):

> d := <<2,3,5>|<7,14,25>|<13,12,16>>;

> d:=Determinant(d);





> dx1:=<<0,18,39>|<7,14,25>|<13,12,16>>;

> d1:=Determinant(dx1);





> dx2 := <<2,3,5>|<0,18,39>|<13,12,16>>;

> d2:=Determinant(dx2);





> dx3 := <<2,3,5>|<7,14,25>|<0,18,39>>;

> d3:=Determinant(dx3);

Kramer koidasiga asosnan sistema echimini topmamiz:

, ,

• 
  _{x:=d1/d;y:=d2/d;z:=d3/d;}
  

Teskari matritsa yordamida echish
Berilgan

Sistemani matritsa yordamida quyidagnicha yozamiz. Berilgan sistemaning matritsa ko‘rinishida yozilishi:

(*)

Bu erda:

, ,

(*) tenglmani quyidagicha yozamiz:

Bu erda: (**)

Bu teskari matritsa topish formulasi bo‘lib,  A matritsa determnanti, A_ij(i,j=1,2,3) -  determinantning a_ij elementiga to‘g‘ri keluvchi algebraik to‘ldiruvchisi. Teskari matritsani topish uchun A matritsa detreminanti  ni tuzamiz va uning algebraik to‘ldiruvchlarini topamiz.