Determinantga doir mashqlar

Determinantga doir mashqlar
1. Determinantni hisoblang:

2. Tenglamani yeching:

3. Chiziqli algebraik tenglamalar sistemasini determinant foydalanib yeching:

4. Uch noma’lumli uchta chiziqli tenglamalar sistemasini yeching:

5. To‘rt noma’lumli to‘rtta chiziqli tenglamalar sistemasini yeching:

Determinantlar nazariyasi bo‘yicha bilimingizni sinab ko‘ring

1. 
   Ikkinchi tartibli determinant qanday hisoblanadi?
   
2. 
   Uchinchi tartibli determinant tushunchasini bering.
   
3. 
   Uchinchi tartibli determinantni hisoblashda uchburchaklar usulini ko‘rsating.
   
4. 
   Uchinchi tartibli determinantni hisoblashda Sarius usulini ko‘rsating.
   
5. 
   n-tartibli determinant haqida tushuncha bering.
   
6. 
   Determinant minori va algebraik to‘ldiruvchilariga ta’rif bering.
   
7. 
   Determinantning xossalarini keltiring.
   
8. 
   n ta noma’lumli n ta chiziqli algebraik tenglamalar sistemasini determinantlar yordamida yechishni ko‘rsating.
   
9. 
   Kramer formulalarini yozing.
   
10. 
    n ta noma’lumli n ta bir jinsli chiziqli algebraik tenglamalar sistemasi noldan farqli yechimga ega bo‘lishining zaruriy va yetarli shartini ayting.