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  • If delta equals to determinant a11 a12 a13 a21 a22 a23 a31 a32 a33 and Aij is Cofactors of aij , then value of delta is given by:

Q : 5        If      \small \Delta =\begin{vmatrix} a{_{11}} & a_1_2 & a_1_3\\ a_2_1 & a_2_2 & a_2_3\\ a_3_1 &a_3_2 &a_3_3 \end{vmatrix}   and   \small A{_{ij}}   is Cofactors of  \small a{_{ij}} ,  then the value of   \small \Delta  is given by 

               (A)  \small a_1_1A_3_1+a_1_2A_3_2+a_1_3A_3_3            

               (B) \small a_1_1A_1_1+a_1_2A_2_1+a_1_3A_3_1                        

               (C) \small a_2_1A_1_1+a_2_2A_1_2+a_2_3A_1_3            

               (D) \small a_1_1A_1_1+a_2_1A_2_1+a_3_1A_3_1

Answers (1)

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Answer is (D) \small a_1_1A_1_1+a_2_1A_2_1+a_3_1A_3_1 by the definition itself, \small \Delta is equal to the product of the elements of the row/column with their corresponding cofactors.

 

Posted by

Divya Prakash Singh

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