Question
Find the value of the determinant $\begin{vmatrix}4200&1201\\4205&4203\end{vmatrix}$

Answer

Let $\triangle=\begin{vmatrix}4200&1201\\4205&4203\end{vmatrix}$
$\triangle=\begin{vmatrix}4200&1\\4205&1\end{vmatrix}$ [Applying $C_2 \rightarrow C_2 - C_1$​​​​​​​]
$\triangle=4200 - 4202$
$\triangle=-2$

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