Question

The value of $\left|\begin{array}{c}441\\ 445\\ 449\end{array}\begin{array}{c}442\\ 446\\ 450\end{array}\begin{array}{c}443\\ 447\\ 451\end{array}\right|$ is:

• A. $441\times 446\times 4510$
• B. $0$
• C. $-1$
• D. $1$

Answer 1

The correct option is B $0$

Given= $\left|\begin{array}{c}441\\ 445\\ 449\end{array}\begin{array}{c}442\\ 446\\ 450\end{array}\begin{array}{c}443\\ 447\\ 451\end{array}\right|$

$C_3\to C_3-C_2,C_2\to C_2-C_1$

$=\left|\begin{array}{ccc}441& 1& 1\\ 445& 1& 1\\ 450& 1& 1\end{array}\right|,$

$=0$, [$\because twocolumnsareidentical.$]