Q. The value of $\left| \begin{array}{r} 441\ \ 442\ \ 443 \\ 445\ \ 446\ \ 447 \\ 449\ \ 450\ \ 451 \end{array} \right|$ is
A) $441 \times 446 \times 4510$
B) 0
C) $- 1$
D) 1
Explanation
(b)
$\left| \begin{array}{r}
441\ \ 442\ \ 443 \\
445\ \ 446\ \ 447 \\
449\ \ 450\ \ 451
\end{array} \right| = \left| \begin{array}{r}
441\ \ 1\ \ 1 \\
445\ \ 1\ \ 1 \\
449\ 1\ \ 1
\end{array} \right|$
$C_{2} \rightarrow C_{2} - C_{1}$
$C_{3} \rightarrow C_{3} - C_{2}$
=0 [$\because$ two columns are identical]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.