MHT CET20228 Aug 2022Evening ShiftMathematicsDeterminantsActual
If A= [a_ i j ]_ 3 3 = [ array lll 3 & 2 & 4 1 & 4 & 1 2 & 6 & 3 array ] and A_ i j is a cofactor of a_ i j , then the value of a₂₁ A₂₁+a₂₂ A₂₂+a₂₃ A₂₃ is equal to
Options
- A18
- B8
- C-8
- D0
Correct answer
B. 8
Step-by-step solution
a₂₁ A₂₁, a₂₂ A₂₂+a₂₃ A₂₃=|A|=3 (12-6)-2(3-2)+4(6-8)=8