Solveeit Logo
Login

Question

Question: If \(A = \left| \begin{matrix} 5 & 6 & 3 \\ - 4 & 3 & 2 \\ - 4 & - 7 & 3 \end{matrix} \right|,\) t...

If $A = \left| \begin{matrix} 5 & 6 & 3 \

  • 4 & 3 & 2 \
  • 4 & - 7 & 3 \end{matrix} \right|,$ then cofactors of the elements of 2nd row are.
A

39,−3,1139, - 3,11

B

−39,3,11- 39,3,11

C

−39,27,11- 39,27,11

D

−39,−3,11- 39, - 3,11

Answer

−39,27,11- 39,27,11

Explanation

Solution

C21=(−1)2+1(18+21)=−39C_{21} = ( - 1)^{2 + 1}(18 + 21) = - 39

C22=(−1)2+2(15+12)=27C_{22} = ( - 1)^{2 + 2}(15 + 12) = 27

C23=(−1)2+3(−35+24)=11C_{23} = ( - 1)^{2 + 3}( - 35 + 24) = 11.