Practicing Success
Practicing Success
CUET Preparation Today
If $\Delta=\left|\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right|$ and $A_{i j}$ is co-factor of $a_{i j}$, then value of $\Delta$ is equal to |
$a_{11} A_{31}+a_{12} A_{32}+a_{13} A_{33}$ $a_{11} A_{11}+a_{12} A_{2 \mid 1}+a_{13} A_{31}$ $a_{21} A_{11}+a_{22} A_{12}+a_{23} A_{13}$ $a_{11} A_{11}+a_{21} A_{21}+a_{31} A_{31}$ |
$a_{11} A_{11}+a_{21} A_{21}+a_{31} A_{31}$ |
The sum of products of corresponding teams with their corresponding co-factors gives the value of determinant either along a row/column $\Delta=a_{11} A_{11}+a_{21} A_{21}+a_{31} A_{31}$ |
