1. matritsalar ustida amallar

Mustaqil yechish uchun misollar:

Berilgan matritsalar ustida talab qilingan amallani bajaring.

1.3. A= B= 2A-B=?

1.4. A= B= 3A-2B=?

1.5. -3 +

1.6. C= (1 2 3), F= C*F=?

1.7. A= , B= A*B=?

1.8. A= , B = A*B=?

1.9. A = , A² =?

. IKKINCHI, UCHINCHI TARTIBLI ANIQLOVCHILARNI HISOBLASH

a₁₁, a₁₂, a₂₁, a₂₂ haqiqiy sonlar berilgan bo’lsin ikkinchi tartibli determinant (yoki aniqlovchi) deb, kabi belgilanuvchi va = a₁₁a₂₂ – a₁₂a₂₁ tenglik bilan aniqlanuvchi songa aytiladi

Berilgan a₁₁, a₁₂, a₁₃, a₂₁, a₂₂, a₂₃, a₃₁, a₃₂, a₃₃ haqiqiy sonlardan tuzilgan a₁₁a₂₂a_{33 +} a₁₂a₂₃ a₃₁₊ a₁₃ a₂₁ a₃₂ - a₁₁a₂₃a₃₂ - a₁₂ a₂₁ a₃₃ - a₁₃a₂₂a₃₁ yig’indiga teng va

kabi berilgan songa uchinchi tartibli determinant deb ataladi. Uchinchi tartibli determinantlarni uchburchaklar usulida, Sarryus usulida hamda biror satr yoki ustun elementlari bo’yicha yoyib hisoblash mumkin.

1. 
   Uchburchaklar usuli:
   

( +) (-)

a₁₁a₂₂a₃₃ + a₂₁a₃₂a₁₃ + a₃₁a₁₂a₂₃ - a₁₁a₂₃a₃₂ - a₁₂ a₂₁ a₃₃ - a₁₃a₂₂a₃₁

2. Sarryus usuli:

=a₁₁a₂₂a₃₃ +a₂₁a₃₂a₁₃+a₃₁a₁₂a₂₃- a₁₁a₂₃a₃₂ - a₁₂ a₂₁ a₃₃ - a₁₃a₂₂a₃₁

3. Birinchi ustun elementlari bo’yicha yoyib hisoblash:

=a₁₁ -a₂₁ +a₃₁
2.1. a) = 3^.5–(-4)^.2 = 15+8 = 23

b) = ^. – (-1)^.a = a+a = 2a

2.2. Uchinchi tartibli determinantlarni uchrurchaklar usuli, Sarryus usuli hamda biror ixtiyoriy satr yoki ustun elementlari bo’yicha yoyib hisoblang:

a) =1^. (-3)^.(-5) + 1^.1^.4 + 2^.(-1)^.1 – 1^.(-3)^.4 – 1^.2^.(-5) – 1^.(-1)^.1 = = 15 + 4 – 2 + 12 + 10 + 1 = 40

b) = 15 – 2 + 4 + 12 + 1 + 10 = 40

c) = 1 - 1 + 1 = 16 + 14 + 10 = 40