Q16Comprehension6 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.Which of the following conditions are sufficient to deduce det(AB)=0\det(AB)=0det(AB)=0?Aα=1\alpha=1α=1Bα=2\alpha=2α=2Cβ=4\beta=4β=4Dβ=1\beta=1β=1
