ID: Class: 12 Subject: Math Topic: Matrices and Determinants Type: Long (LA) Year: 2024

Question:

If \(A=\begin{bmatrix}1&\cot~x\\ -\cot~x&1\end{bmatrix}\) show that \(A^{\prime}A^{-1}=\begin{bmatrix}-\cos~2x&-\sin~2x\\ \sin~2x&-\cos~2x\end{bmatrix}\)