Question

Let \( S=\{\sqrt{n}: 1 \leq n \leq 50 \) and \( n \) is odd \( \} \) Let \( a \in S \) and \( A=\left[\begin{array}{ccc}1 & 0 & a \\ -1 & 1 & 0 \\ -a & 0 & 1\end{array}\right] \) If \( \sum \operatorname{det}(\operatorname{adj} A)=100 \lambda \), then \( \lambda \) is equal to

Answer 1

=1+1²+1+3²+1+5²+.....+1+49²

⇒ 22100 = 100λ

λ = 221