Question

The value of determinant using Bagula method $\left|\begin{array}{ccc}3& -2& 3\\ 0& 2& 0\\ 2& -1& 3\end{array}\right|$ is

• A. $30$
• B. $-30$
• C. $-6$
• D. $6$

Answer 1

The correct option is D $6$

Using 'Bagula' method : $\left|\begin{array}{ccc}{a}_1& b_1& c_1\\ a_2& b_2& c_2\\ a_3& b_3& c_3\end{array}\right|=[a_1{b}_2{c}_3+b_1{c}_2{a}_3+c_1{a}_2{b}_3]-[a_3{b}_2{c}_1+b_3{c}_2{a}_1+c_3{a}_2{b}_1]$
$\left(\right[$sum of product of elements in principal diagonal and elements forming its 'star'] - [sum of product of elements in geometrical diagonal and elements forming its 'star'$\left]\right)$
$=[18+0+0]-[12+0+0]=6$