If \[{{A}_{1}},{{B}_{1}},{{C}_{1}}\].... are respectively the co-factors of the elements \[{{a}_{1}},{{b}_{1}},{{c}_{1}}\],...... of the determinant \[\Delta =\left| \,\begin{matrix} {{a}_{1}} & {{b}_{1}} & {{c}_{1}} \\ {{a}_{2}} & {{b}_{2}} & {{c}_{2}} \\ {{a}_{3}} & {{b}_{3}} & {{c}_{3}} \\ \end{matrix}\, \right|\], then \[\left| \begin{matrix} {{B}_{2}} & {{C}_{2}} \\ {{B}_{3}} & {{C}_{3}} \\ \end{matrix} \right|=\]

• A. \[{{a}_{1}}\Delta \]
• B. \[{{a}_{1}}{{a}_{3}}\Delta \]
• C. \[({{a}_{1}}+{{b}_{1}})\Delta \]
• D. None of these