The set of all values of \(t \in R\), for which the matrix \(\left[\begin{array}{ccc}e^t & e^{-t}(\sin t-2 \cos t) &…

The set of all values of \(t \in R\), for which the matrix \(\left[\begin{array}{ccc}e^t & e^{-t}(\sin t-2 \cos t) & e^{-t}(-2 \sin t-\cos t) \\ e^t & e^{-t}(2 \sin t+\cos t) & e^{-t}(\sin t-2 \cos t) \\ e^t & e^{-t} \cos t & e^{-t} \sin t\end{array}\right]\) Invertible, is

[JEE Main 2023, 29 Jan (Shift 2)]