Q17Comprehension4 Marks23 Feb 2025PassageConsider the matrices A=[10101010α],B=[β−20101066β−1],A=\begin{bmatrix}1&0&1\\0&1&0\\1&0&\alpha\end{bmatrix},\quad B=\begin{bmatrix}\beta-2&0&1\\0&1&0\\6&6&\beta-1\end{bmatrix},A=10101010α,B=β−20601610β−1, where α,β∈R\alpha,\beta\in\mathbb{R}α,β∈R. Based on the above data, answer the given subquestions.For α=3\alpha=3α=3 and β=0\beta=0β=0, find the value of det(−BTA2B−1)\det(-B^TA^2B^{-1})det(−BTA2B−1).Your answerPress Enter to check.