Here are some JEE past year questions from the chapter on Determinants: 1. 2007: * Evaluate the determinant: $\begin{vmatrix} 1 & 2 & 3 \\ 2 & 3 & 4 \\ 3 & 4 & 5 \end{vmatrix}$ 2. 2008: * If $A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$, then find the value of $|A^2|$, where $|A|$ represents the determinant of matrix $A$. 3. 2010: * Let $A = \begin{bmatrix} 1 & 0 & 0 \\ 2 & 3 & 0 \\ 3 & 4 & 5 \end{bmatrix}$. Find the value of the determinant of $A$. 4. 2011: * If $A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$, then find the value of $|A^2 - 3A + 2I|$, where $I$ is the identity matrix. 5. 2013: * Evaluate the determinant: $\begin{vmatrix} 1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 6 \end{vmatrix}$ 6. 2015: * Let $A = \begin{bmatrix} 1 & 0 & 0 \\ 2 & 3 & 0 \\ 3 & 4 & 5 \end{bmatrix}$. Find the value of the determinant of $A^2$. 7. 2016: * If $A = \begin{bmat...
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