MHT CET202210 Aug 2022Evening ShiftMathematicsDeterminantsActual
If A= [a_ i j ]_ 3 3 = [ array ccc 1 & 3 & 3 -1 & 2 & 2 1 & 1 & 4 array ] and A_ i j is a cofactor of a_ i j then the value of a₃₁ A₃₁+a₃₂ A₃₂+a₃₃ A₃₃ is equal to
Options
- A5
- B15
- C20
- D0
Correct answer
B. 15
Step-by-step solution
aligned & a₃₁ A₃₁+a₃₂ A₃₂+a₃₃ A₃₃=|A| & =1 (8-2)-3(-4-2)+3(-1-2)=6+18-9=15 aligned