Question

Find the value of the determinant:
$\left|\begin{array}{cc}5& -2\\ -3& 1\end{array}\right|$

Answer 1

$\left|\begin{array}{cc}5& -2\\ -3& 1\end{array}\right|=(5\times 1)-\left[\right(-2)\times (-3\left)\right]=5-6=-1$
$\therefore$ Value of the determinant is $-1$.