Question

Evaluate the determinant :$\left|\begin{array}{ccc}6& -3& 2\\ 2& -1& 2\\ -10& 5& 2\end{array}\right|$

Answer 1

$\left|\begin{array}{ccc}6& -3& 2\\ 2& -1& 2\\ -10& 5& 2\end{array}\right|$

$=6(-2-10)+3(4+20)+2(10-10)$

$=-72+72$

$=0$