The value of left|begin{array}{lll}1990 & 199 | vedclass

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(D) Let $\Delta = \left|\begin{array}{lll}1990 & 1991 & 1992 \ 1991 & 1992 & 1993 \ 1992 & 1993 & 1994\end{array}ight|$Applying the column operati

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$0$

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(D) Let $\Delta = \left|\begin{array}{lll}1990 & 1991 & 1992 \ 1991 & 1992 & 1993 \ 1992 & 1993 & 1994\end{array}ight|$Applying the column operations $C_2 ightarrow C_2 - C_1$ and $C_3 ightarrow C_3 - C_2$:$\Delta = \left|\begin{array}{lll}1990 & 1991-1990 & 1992-1991 \ 1991 & 1992-1991 & 1993-1992 \ 1992 & 1993-1992 & 1994-1993\end{array}ight|$$\Delta = \left|\begin{array}{lll}1990 & 1 & 1 \ 1991 & 1 & 1 \ 1992 & 1 & 1\end{array}ight|$Since column $C_2$ and column $C_3$ are identical,the value of the determinant is $0$.

The value of $\left|\begin{array}{lll}1990 & 1991 & 1992 \\ 1991 & 1992 & 1993 \\ 1992 & 1993 & 1994\end{array}\right|$ is

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