Assertion (A): For matrix A = [1, cos θ, 1; - cos θ, 1, cos θ; -1, - cos θ, 1], where θ ∈[0,2 π], | A | ∈[2,4]. Reason (R): cos θ ∈[-1,1], ∀ θ ∈[0,2…

Assertion (A) : For matrix $\displaystyle \mathrm{A}=\left[\begin{array}{ccc}1 & \cos \theta & 1 \\ -\cos \theta & 1 & \cos \theta \\ -1 & -\cos \theta & 1\end{array}\right]$, where $\displaystyle \theta \in[0,2 \pi]$, \[|\mathrm{A}| \in[2,4] . \] Reason $\displaystyle (R): \quad \cos \theta \in[-1,1], \forall \theta \in[0,2 \pi]$.