Question

Solve:
$\left|\begin{array}{ccc}0& a& -b\\ -a& 0& -c\\ b& c& 0\end{array}\right|=0$

Answer 1

$\left|\begin{array}{ccc}0& a& -b\\ -a& 0& -c\\ b& c& 0\end{array}\right|=0$

using matrix propertis

$\Rightarrow o(o+c^2)-a(-ao+bc)-b[-ac-o\times b]$

$o=-abc+abc+o$

=0