Q. The value of $\left| \begin{matrix} 1990 & 1991 & 1992 \\ 1991 & 1992 & 1993 \\ 1992 & 1993 & 1994 \end{matrix} \right|$ is
A) 1992
B) 1993
C) 1994
D) 0
Explanation
(d)
Applying $C_{2} \rightarrow C_{2} - C_{1},\ C_{3} \rightarrow C_{3} - C_{2}$, we get
$\left| \begin{matrix}
1990 & 1 & 1 \\
1991 & 1 & 1 \\
1992 & 1 & 1
\end{matrix} \right| = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.