Question

Let a, b, c be three complex numbers, and let
$z=\left|\begin{array}{ccc}0& -b& -c\\ b& 0& -a\\ c& a& 0\end{array}\right|$
then z equal

• A. $0$
• B. purely imaginary
• C. $abc$
• D. none of these

Answer 1

The correct option is A $0$

$z=\left|\begin{array}{ccc}0& -b& -c\\ b& 0& -a\\ c& a& 0\end{array}\right|=0(0+a^2)+b(0+ac)-c(ab-0)=0$