Determinants
Completion requirements
Exercise 4.3.5
If \(\Delta = \begin{vmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{vmatrix}\) and \(A_{ij}\) is the Cofactor of \(a_{ij}\), then the value of \(\Delta\) is given by: (A) \(a_{11}A_{31} + a_{12}A_{32} + a_{13}A_{33}\) (B) \(a_{11}A_{11} + a_{12}A_{21} + a_{13}A_{31}\) (C) \(a_{21}A_{11} + a_{22}A_{12} + a_{23}A_{13}\) (D) \(a_{11}A_{11} + a_{21}A_{21} + a_{31}A_{31}\)