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Question
Find the value of the determinant
\[\begin{bmatrix}4200 & 4201 \\ 4205 & 4203\end{bmatrix}\]
Solution
\[\text{ Let }\Delta = \begin{vmatrix} 4200 & 4201\\4202 & 4203 \end{vmatrix}\]
\[ \Delta = \begin{vmatrix} 4200 & 1\\4202 & 1 \end{vmatrix} \left[\text{ Applying }C_2 \to C_2 - C_1 \right]\]
\[ = 4200 - 4202 \]
\[ = - 2\]
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