MHT CET202016 Oct 2020Morning ShiftMathematicsMatricesActual
The sum of the cofactors of the elements of second row of the matrix [ array ccc 1 & 3 & 2 -2 & 0 & 1 5 & 2 &1 array ] is
Options
- A23
- B3
- C5
- D-23
Correct answer
C. 5
Step-by-step solution
(B) Co-factors of second row of matrix are array l A₂₁=(-1)²⁺¹ | array ll 3 & 2 2 & 1 array |=(-1)³(-1)=1 A₂₂=(-1)²⁺² | array ll 1 & 2 5 & 1 array |=(-1)⁴(-9)=-9 A₂₃=(-1)²⁺³ [ array ll 1 & 3 5 & 2 array ]=(-1)⁵(-13)=13 Their sum =A₂₁+A₁₂+A₂₃=1-9+13=5 array