Practicing Success
Practicing Success
CUET Preparation Today
If $Δ=\begin{vmatrix}a_{11} & a_{12} & a_{13}\\a_{21} & a_{22} & a_{23}\\a_{31} & a_{32} & a_{33}\end{vmatrix} $ and $A_{ij}$ is the cofactor of $a_{ij}$, then value of Δ is given by : |
$a_{11}A_{31}+a_{12}A_{32}+a_{13}A_{33}$ $a_{11}A_{11}+a_{12}A_{21}+a_{13}A_{31}$ $a_{21}A_{11}+a_{22}A_{12}+a_{23}A_{13}$ $a_{11}A_{11}+a_{21}A_{21}+a_{31}A_{31}$ |
$a_{11}A_{11}+a_{21}A_{21}+a_{31}A_{31}$ |
The correct answer is Option (4) → $a_{11}A_{11}+a_{21}A_{21}+a_{31}A_{31}$ corresponding cofactors either along a row need to be multiplied or column with corresponding elements in order to give the value of determinant $Δ=a_{11}A_{11}+a_{21}A_{21}+a_{31}A_{31}$ |
