Let \( A_{n} \) be a \( n \times n \) matrix with its \( i^{\text {th }} \) row and \( j^{\text ...
Let \( A_{n} \) be a \( n \times n \) matrix with its \( i^{\text {th }} \) row and \( j^{\text {th }} \) column elements \( a_{i j} \) is defined as \( a_{i j}=\left\{\begin{array}{cc}(-1)^{|i-j|} & i \neq j \\ 2 & i=j\end{array}\right. \) match values of List-I with number of their factor in List-II.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ List-I } & \multicolumn{2}{c|}{ List-II } \\
\hline A. & \( \left|A_{2}\right| \) & p. & 5 \\
\hline B. & \( \left|A_{1}\right| \) & q. & 4 \\
\hline C. & \( \left|A_{3}\right| \) & r. & 3 \\
\hline D. & \( \left|A_{4}\right| \) & s. & 2 \\
\hline
\end{tabular}
(a) A-(p); B-(q); C-(r); D-(s)
(b) A-(r); B-(s); C-(p); D-(q)
(c) A-(r); B-(s); C-(q); D-(p)
(d) A-(s); B-(r); C-(q); D-(p)
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