Question

If the capital letters denotes the cofactors of the corresponding small letters in the determinant

D = $\left| \begin{matrix} a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3} \end{matrix} \right|$ & D´ = $\left| \begin{matrix} A_{1} & B_{1} & C_{1} \\ A_{2} & B_{2} & C_{2} \\ A_{3} & B_{3} & C_{3} \end{matrix} \right|$ then DD´ equals –

• A. 0
• B. 2D
• C. D³
• D. D

Answer 1

Answer: (C)

D³

Answer 2

D' = D^n–1 = D² (By the property)

\ D D' = D³